![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
Application of derivative in Physics It is required to list relevant mathematical knowledge and give four examples of the application of these knowledge in physics, which shall not be repeated
The derivative can be used to calculate the velocity and acceleration of a moving object,
On the application of derivative in life and Physics Where will the derivative be used in physics? For example, in life, you can't lift the balloon to expand, Who will answer?
Many practical problems in engineering will have relevant applications, such as calculating the pressure on the slope of the dam, etc. Considering the idea of differential, the idea of derivative will be used for those requiring integral
What is the physical meaning of the second derivative and the third derivative of bending deflection?
have a look
Why are graphs with second derivative greater than 0 convex Please explain it concisely
Why is a curve with a second derivative greater than 0 convex?
A more strict formulation is that a curve with a second derivative greater than 0 is convex downward or concave upward. The bow formed by the chord of the curve and the arc sandwiched by the chord is convex
If the convexity of the curve is defined in this way: any chord of the curve does not intersect with the curve at the third point, then the landlord's formulation is correct in this sense
This fact can be explained intuitively. The second derivative reflects the change rate of the first derivative, which is constant greater than 0, indicating that the first derivative is constant increase, that is, the tangent slope of the curve is increasing, that is, when the tangent of the curve slides along the curve from left to right, it rotates in one direction (counterclockwise) without swing, so the bow of the curve is convex
Simple proof (counter proof method): if the chord ab of the curve and the curve intersect at point C different from chord ends a and B, according to Rolle's theorem, there is a tangent parallel to the chord on arc AC and arc BC, which is contrary to the monotonic increase of tangent slope
What is the geometric meaning of the second derivative equal to 0? Such as primary function
Second derivative
What are the special meanings of first derivative, second derivative and third derivative in economy? Combined with the principles of Economics
You mean economic meaning. In fact, derivative has no special meaning when applied to economy
The elastic part uses the first derivative. In addition, the first derivative is only used to find the extreme value. As for the second and third order, there are few places to use
RELATED INFORMATIONS
- 1. Economic significance of the first derivative of consumption function
- 2. The known function f (x) = 2x + 1 / x + 1. (1) prove that the function is an increasing function in the interval [1, + ∞) by definition; (2) Find the maximum and minimum values of the function on the interval [2,4]
- 3. F (x) defined on (0, π / 2), f '(x) is its derivative, and f (x) f (1) is greater than 2F (π / 6) sin1
- 4. There are two factories a and B. factory a is located on the bank a of a straight river bank, factory B and factory a are on both sides of the river, factory B is located at B 40km away from the river bank, and the vertical foot d from factory B to the river bank is 50km away from a. the two factories shall jointly build a water supply station C on this bank. The cost of water pipes from the water supply station to factory a and factory B is 3A yuan and 5A yuan respectively, Where is the water supply station C built to save the water pipe cost?
- 5. How much is △ Y / △ x equal to if you know the 1 point (1, - 2) on the image with function f (x) = 2x ^ 2-4 and the adjacent point (1 + △ x, - 2 + △ y)
- 6. The area of a circle π R ^ 2 what are 2 π R and π D
- 7. The difference between derivative and differential
- 8. How to solve the equation The letter equality is also reduced to equal to 0. If constant = 0, how to solve it is not an inequality
- 9. Define the odd function f (x) of domain R, when x ∈ (－∞, 0), f (x) + XF '(x)
- 10. The monotone decreasing interval of the function f (x) = the third power of X - the square of 3x + 2 is
- 11. What does this symbol mean in advanced mathematics? For example, when x → 0, 1-cos (x √ 1-cosx) ~ 1 / 2 x ^ 2 (1-cosx) has ~, what does it mean? Is it equivalent to? Or what? For an answer, thank you!
- 12. What are the concepts and differences between inflection point and stagnation point?
- 13. Let f (x) be an even function defined on R. when x < 0, f (x) XF '(x) < 0 and f (- 4) = 0, the solution set of inequality XF (x) > 0 is
- 14. It is known that the even function f (x) with the definition domain R is an increasing function on [0, positive infinity], and f (1) = 0, then the inequality XF (x)
- 15. It is known that f (x) is an even function defined on R, and the odd function g (x) = f (x-1) defined on R, then the value of F (2009) + F (2011) is () A. -1 B. 1 C. 0 D. Unable to calculate
- 16. Let the function f (x) be continuous on the symmetric interval [- A, a], and prove that ∫ - A, a) f (x) DX = ∫ (0, a) [f (x) + F (- x)] DX
- 17. What does 1000F mean in the expression? string resultValueString = resultValue.ToString(); if (resultValue == 1000f) { ******} What is the interpretation of "1000F" in the above expression?
- 18. Derivative (1)y=2^sin(1/x) (2) Y = ln (x ^ 2 + A ^ 2 under x + radical) (3) Y = (x / 2) x [under the root sign (a ^ 2-x ^ 2)] + (a ^ 2 / 2) x (arcsinx / a) (a > 0) These are compound functions, which is the process of setting the function as a whole
- 19. Super difficult physical problems -- on sliding friction Can the work done by sliding friction not make a single object generate heat! My example: There is a block on a wood block on the ground. There is a friction coefficient between the block and the block, while the block has no friction with the ground. When the block is pulled by force, the block and the block will slide relatively, If the block is taken as the research object and the sliding friction makes positive work on the block, the block will not No internal energy increased? (heat transfer between blocks and wood blocks is not considered) My basis is: sliding friction does negative work and internal energy increases So sliding friction is a measure of the increase in internal energy when work is done to change internal energy Therefore, the internal energy increases only when the sliding friction does negative work (regardless of heat transfer) When the sliding friction does positive work, the internal energy cannot be increased If I am wrong, please give me a reasonable explanation I have another point to consider: the wood block generates heat, but the object block does not generate heat. If the object block and the wood block are insulated, only the wood block becomes hot, but the object block is not hot Your explanation was wonderful, but I still don't understand it. Can you be more precise? Thanks again to the two and future friends
- 20. Why is the friction force and traction force of a car moving in a straight line at a uniform speed the same? Instead of traction greater than friction? The equilibrium force of a stationary object is equal. Why is the equilibrium force of uniform linear motion equal?