Find the derivative of the function. f(x) = ex³ + 7x

Q: Find the first and second derivative of the given y = x2+x+8

A:

Q: Find the derivative of the function y=x2−5x.

A: We differentiate both sides with respect to x.

Q: Find the derivative of the function and then evaluate at the given point. y= 2x - 5x; (- 1,7)

A:

Q: Find the derivative of the given function. 3-2х y = 3+2x

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the derivative of the function. g(x) = ex³ - 2x g'(x) =

A: The function is given by gx = ex5-2x Formula Used: The chain rule of the derivative is ddxfgx =…

Q: Find the derivative of the function, f (x)=(3x-2)° (2x+5)

A:

Q: Find the derivative of the function y=2x1−x2.

A:

Q: Find the derivative of the function y = x²e*

A:

Q: Find the derivative of the function. 9х - 1 y3= x2 + 7x y' = D

A: Given: y=9x-1x2+7x Quotient rule for derivative: ddxuv=v u'-u v'v2

Q: Find the derivative of the function. F(x) = /1 – 2x

A: Given, Fx=1-2x

Q: Find the derivative of the function. y = 3ex - 6x

A: Given that  y=3e^x-6x To find the derivative of the function

Q: Find the derivative of the function .

A: Given: f(x) = x -6x3 To find: The derivative of the given function.

Q: Find the derivative of the function.

A: We have to find the derivative of the given function   The given function is

Q: Find the derivative of the function (x-2)2 | y = Vx2 +1' 2.

A: We use derivative of u/v=( v derivative of u - u derivative of v)/v2.

Q: Find the derivative of the given function. y= 2x°-8x +16x+4 dx II

A:

Q: Find the derivative of the function. y = x2(2x2 − 3x)

A: The given function is,

Q: Find derivative of the following function. 7x -7x + e y = X

A:

Q: Find the derivative of the function. y = 4x3e−x y ' =

A: Given: -

Q: Find the fifth derivative of the function y=(x3+2x2+3x)ex.

A: We use the product rule to find the derivatives

Q: Find the derivative of the function. 4x +7 y = 3

A: Quotient rule: ddxfxgx=gxddxfx-fxddxgxgx2

Q: Find the value of x , for which the second derivative of the function f(x) = x - 3x² is equal to…

A:

Q: Find the derivative of the function.    t(x) = (x2 − 8x3)/(x)

A: Given, t(x)=x2-8x3xTake 'x' common from numerator,we gett(x)=xx-8x2xCancel 'x' from both numerator…

Q: Find the derivative of the function. 9x + 8x2 t(x) t'(x) =

A: We have to find derivative

Q: Find the derivative of the function. f(x)= 10Vx- 6e*

A:

Q: Find the derivative of the function: y= 3x²e¬*

A:

Q: Find the derivative of the function f(x) = 53x

A: Here given function fx=53x

Q: Find the derivative of the function. g(x) = 2(4 – 7x)* %D

A: given function :

Q: Find the derivative of the function. y = 10'-x²

A: Derivative indicates rate of change. Use the chain rule: ddxf(g(x)=f'(g(x))g'(x) Use the formula:…

Q: Find the derivative of the function. y = 2e* +x2

A:

Q: Find the derivative of the function y=1x+1√x+13√x.

A: Given:  y=x+x+13xDifferentiation formula:ddxxn=n.xn-1ddxx=1ddxc=0

Q: find the derivative of the function.

A: Here given as gx=3x-5 or   gx=3x-5x>535-3xx≤53

Q: Find the derivative of the function y = -9+ 3x.

A: We have to use chain rule.

Q: Find the derivative of the function. 7 q = = Vx' - 2x

A:

Q: Find the derivative of the function. x2 - 2x3 t(x) t'(x) =

A: In the question it is asked to calculate derivative of following function.

Q: Find the derivative of the function y=√4-3x.

A:

Q: Find the derivative of the function and then evaluate at the given point. y 3x2-4x; 1,7)

A: To determine the derivative of given function and then evaluate at the point (-1, 7).

Q: Consider the function: y = -3x3ex Find the first derivative of the above function.

A:

Q: Find the derivative of the function y = (3x + 5)x

A: ddxln x=1x Product rule: (uv)'=u'v+uv'

Q: Find the derivative of the given function.   f(x)=8x+8⋅5x

A: To differntiate the given function y= 8x+8.5x

Q: Find the derivative of the function. x²- f(x) x? 4x + 7 .2.

A:

Q: Fg(x) = 1 Vx-1

A:

Q: g(x) =e*(2x² – 3x)

A: g(x)=e^x (2x^2-3x)

Q: Find the derivative of the function. q= 5 3 x + 6x

A: The given function q=x3+6x5

Q: Find the derivative of the function. f(x) = ∣x2 − 9I

A: We know that ddxu=uu×dudx

Q: Find the derivative of the function. Y- (2x)4

A: The given function is

Q: Find the derivative of the function y= 4, 5x 3x+5 The derivative is

A:

Q: Find the derivative of the function. g(x) = ∣3x − 5∣

A: We have to find the derivative of the function, g(x) = ∣3x − 5∣

Q: Find the derivative of the function (5x? +sin2xj3/2

A: Given: The function is, y=35x2+sin2x32. The objective is to find the derivative of the function.

Q: Find the derivative of the function q=14r-

A: