d (e6) = 6• e5 dx Choose the correct answer below. d (x^) = nx"-1, dx O A. True. The Power Rule states that d d (e) = e 6x because - (x) = xa* 1. dx D B. False. The derivative is dx d O C. False. The derivative is dx d (e©) = e® because (e*) = e*. dx 6. O D. False. The derivative is dx = 0 because e° is a constant.

Q: (-1)^ dx n= (2n+1)!

A:

Q: If f(x) = 6 + 3x - 4x², find f'(-1).

A: Given function is

Q: h(x)=5x^2 -2x^3 +1 what is h'(2)? a.-5 b.-8. c.-4 d.-8

A: The given function is

Q: 3х -5х+1 5. H(х) %3 x*- 4х H'(x)==2 -7х-2х+4 (x²-4x) %3D

A: Quotient Rule where u' = du/dx

Q: Evaluatef (cot2x + 2tan²x - 5) dx a. cotx + 2tanx + 4x + C b. -tanx-2cotx - 4x + C c. -cotx 2tanx -…

A: I have stated the used formulas in the solution

Q: If f(x) 6e² – 8x* + 3, find f'(x). %3D

A:

Q: ① -2) (7x 0 - 3x - 2 + 이승 이승 ② 1 ( + ex) 2 dx Hx2

A: (1)ddx(7x6+3x4−2x)

Q: y=3e^x + 4/∛x *differentiate the function.

A: Topic:- derivatives

Q: y = 2x/sqr(x^2 + 1) - find the deriviative using chain rule and explain each step clearly and show…

A:

Q: write the equation of the tangent to the Eunction: 2(x? +y=J%=25(x* -y^) at the point (3, 1) %3D

A: First we calculate the slope of tangent at the given point

Q: Which of the following is  F(x)+C  for  F(x)=∫f(x)dx=∫(3e^x+2sin⁡x)dx  and  F(0)=0  ? Select one…

A:

Q: y =x^3+3x / x Find y”

A:

Q: Find the derivative. y = e2= . 8x3 24x?e2 + 16x4e2« – 1 O 2e2a . 24x? 24x e2 + 16x³e2* O 2xe2a…

A: We will find the derivative using Chain rule.