On the geometric meaning of derivative F (x) = ax ^ 4 + BX ^ 3 + CX ^ 2 + DX + e is even function, passing through point (0, - 1), and the tangent at x = 1 is 2x + Y-2 = 0, Why can we deduce B = 0.d = 0 if f (x) is an even function, and I deduce 2bx ^ 3 + 2DX = 0?

On the geometric meaning of derivative F (x) = ax ^ 4 + BX ^ 3 + CX ^ 2 + DX + e is even function, passing through point (0, - 1), and the tangent at x = 1 is 2x + Y-2 = 0, Why can we deduce B = 0.d = 0 if f (x) is an even function, and I deduce 2bx ^ 3 + 2DX = 0?

Since it is an even function, f (x) = f (- x),
So B = 0, d = 0
Passing through point (0, - 1), so e = 1
So f (x) = ax ^ 4 + CX ^ 2-1
Because the tangent at x = 1 is 2x + Y-2 = 0, the tangent point is (1,0)
A + C-1 = 0
And the tangent slope is - 2, so 4A + 3C = - 2
So a = - 5, C = 6
So f (x) = - 5x ^ 4 + 6x ^ 2-1

What's the geometric meaning of the second derivative?

The second derivative is the curvature of the function image at a certain point, and the inflection point can be used to determine the turning direction. The order of the derivative does not require the function to be several variables, nor the degree of the function. For example, the curvature of a straight line is zero everywhere, and the second derivative is always zero

What is the geometric meaning of the second mixed partial derivative of a function of two variables

0

Find two or three consecutive addition and subtraction or single digit multiplication within 100
The more, the better,
One point for every ten,
If it is not an integer, use the method of entering one!

45+6+23=
67+12+3=
6*8=
7*4=
9+23+45=
39+49=
17+25=
8*8=
33+8+9=
4+14+28=

It is known that when x = 3, the algebraic formula ax ∧ 5 + BX ∧ 3 + cx-10 = 7 is used to find the value of the algebraic formula when x = 3

When x = 3, ax ∧ 5 + BX ∧ 3 + cx-10 = 7, that is, a × 3 ^ 5 + B × 3 ^ 3 + C × 3-10 = 7 ∧ a × 3 ^ 5 + B × 3 ^ 3 + C × 3 = 17, then when x = - 3, ax ∧ 5 + BX ∧ 3 + cx-10 = a × (- 3) ^ 5 + B × (- 3) ^ 3 + C × (- 3) - 10 = - (a × 3 ^ 5 + B × 3 ^ 3 + C × 3) - 10 = - 17-10 = - 27 or when x = - 3 is known, calculate the value when x = 3

0123456789 ten digits can make up three digits without repetition

There is a bit of ambiguity in your question. One understanding is that three digits can't be repeated. This question doesn't need to be calculated at all. 99 to 999 are 900 three digits. Another understanding is that three digits in three digits can't be repeated, so 9 * 9 * 8 = 648

As shown in the figure, on the image of inverse scale function y = 1 / x, there is a moving point a (x, y), another intersection of straight line AO and hyperbola y = 1 / X
The point is B, passing through a and B respectively, making AC and BD perpendicular to the x-axis. The perpendicularity is C and D respectively, connecting BC and ad. try to judge the change of area of quadrilateral ADBC when point a moves on the curve y = 1 / x, and explain the reason

The area of the parallelogram ADBC is the sum of the areas of the four triangles ACO
Let the area of parallelogram be s, then S & nbsp; = & nbsp; 4 * (1 / 2) XY & nbsp; = & nbsp; 2XY = 2x * (1 / x) & nbsp; = & nbsp; 2
A: area is a constant. 2. It has nothing to do with the motion of point a

Multiplication sign, division sign, plus sign, minus sign, origin of equation
The origin of the plus sign. The origin of the minus sign. The origin of the multiply sign. The origin of the division sign

Addition and subtraction: in China, at least in the Shang Dynasty (about 3000 years ago), there were addition and subtraction operations. However, like other ancient civilizations, there was no addition symbol, and adding two numbers together means adding. This kind of legacy can still be seen in today's fractional writing. In the third century A.D., the subtraction sign "↑" appeared in Greece

The vertex of image of quadratic function y = a ^ 2x + BX + C is C, which intersects with X axis at a, B. if the distance from C to X axis is equal to K times of the distance between a and B, B ^ 2-4ac = 16K^
Find B ^ 2-4ac = 16K ^ 2

If the quadratic function y = ax ^ 2 + BX + C1. A > 0ax ^ 2 + BX + C = 0x1 + x2 = - B / ax1 * x2 = C / a (x1-x2) ^ 2 = (x1 + x2) ^ 2-4x1x2 = B ^ 2 / A ^ 2-4c / a = (b ^ 2-4ac) / A ^ 2C, the distance from X axis ^ 2 = (4ac-b ^ 2) ^ 2 / 16A ^ 2, then (4ac-b ^ 2) ^ 2 / 16A ^ 2 = k ^ 2 * (b ^ 2-4ac) / A ^ 2, that is, 4ac-b ^ 2 = 16K ^ 2

What should we pay attention to when omitting the multiple sign

The method of omitting multiplication sign
1. When multiplying a letter by a letter, you can omit the multiply sign directly, or change the multiply sign to dot. AB, A.B
2. When multiplying a letter by a number, omit the multiplication sign. The number should be written in front of the letter. L for example, 4a
3. Multiplication of two identical numbers or letters can be written as a square. For example, 2x2 AXA