Slope and derivative Given the curve y = f (x), and the point m (x, y) on the curve, is the derivative of X into y the tangent slope at M? How can I find the tangent of m if M (x, y) is not on the area line?

Slope and derivative Given the curve y = f (x), and the point m (x, y) on the curve, is the derivative of X into y the tangent slope at M? How can I find the tangent of m if M (x, y) is not on the area line?

Yes, that's the definition

Given the function f (x) = e to the power of x-kx, K ∈ R
① When k = 1, the function y = the minimum value of FX; ② if f (x) > 0 is constant for any x ∈ (0, positive infinity), the value range of real number k is obtained

① If f (x) = e ^ x-x, f '(x) = e ^ X-1 > 0, then x > 0. Therefore, f (x) decreases in the interval (- infinity, 0) and increases in the interval (0, + infinity). The minimum value (also the minimum value) is f (0) = 1

How to find the derivative of X / K power of E

How to find the derivative of function f (x) = (x-k) e Λ x?
Such as the title
Do you want to use compound derivatives?

f'(x)=(x-k)'*e^x+(x-k)(e^x)'
=1*e^x+(x-k)*e^x
=(x-k+1)e^x

1. Calculate with recurrence equation
(1) 3 / 4 × 3 / 4 + 3 / 4 ／ 4 / 3 (2) [11 ／ (1 / 4 + 2 / 3)] × 11 / 8
2. Three tenths: one half = (): 3
3. Decompose 546, the quality factor is ()

(1) 3 / 4 × 3 / 4 + 3 / 4 ／ 4 / 3 = 9 / 16 + 9 / 16 = 9 / 8 = 1 and 1 / 8 (2) [11 ／ (1 / 4 + 2 / 3)] × 11 / 8 = 12 × 11 / 8 = 16.5 2. 3 / 10: 1 / 2 = (1.8): 3 3 3

Simple calculation of 8.54-5.96

8.54-6+0.04=2.58

Simple calculation: 0.54 * 4.6 + 5.4 * 5.4 + 54
I have also broken it down to 5.4 * 15.86. It seems that the result of 5.4 * 15.86 still needs to be worked out in a rough draft, which is equal to 85.644. It's not easy. Can the correct answer only be broken down to 5.4 * 15.86?
I really want to make 46 and 54 into a whole, but I can't fix the decimal point.

54*54=2916
0.54*4.6+5.4*5.4+54
=0.54*（10-5.4）+5.4*5.4+54
=0.54*10-0.54*5.4+5.4*5.4+54
=5.4-2.916+29.16+54
=……

Simple operation of 52x99 + 52

52*（99+1）=52*100=5200

How to calculate (four and a quarter × 6.56 + 3.44 × 7.75-3.44 × 3.5) △ 0.425

(4 and 1 / 4 × 6.56 + 3.44 × 7.75-3.44 × 3.5) △ 0.425
=[four and a quarter × 6.56 + 3.44 × (7.75-3.5)] 0.425
=【4.25×6.56＋3.44×4.25】÷0.425
=4.25×（6.56+3.44）÷0.425
=4.25×10÷0.425
=42.5÷0.425
=100

5760 times 315 plus 206 out of 521 plus 315 times 5770

Visual inspection 206 + 315 = 521
（206+315*5770）/(5760*315+521)=(5760*315+9*315+315+206)/(5760*315+521)=1+2835/(5760*315+521)