f(x): 2x + 1

Q: 4) f(x) e**+6x

A: If F(x) = f(g(x)) , then F'(x)= f'(g(x)).g'(x). dexdx=ex dxndx=n.xn-1. Quotient Rule of…

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

A:

Q: Find the derivative of the function. A) f(x) = In(x*Vx² - 3)

A: This problem can be solved by using the Chain rule as explained in step 2.

Q: f (x) = (x² – 1)**1

A:

Q: Find the 3rd derivative of the function y=f(x) given by the equation x2−y2=9.

A:

Q: Find the derivative of the function. g(x) = e-X + 3e2x - 2e-x + 11 g'(x) =

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. 7 x2 + 1 y = x2 - 1

A:

Q: Find the derivative of f(x) = e* (3x' - 4) %3D

A:

Q: Find the derivative of the function g(x)=(2x^2+2x+2)e^x g'(x)=

A:

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 function g(x)=(5x^2−3x+1)e^x g'(x)=___

A:

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 second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Our Aim is to find the second derivative of…

Q: Give the derivative formula for the function g(x) 2.1X 2 g '(x)

A: The given function is

Q: Find the derivative of the function. g(x)=4x(3x+2)^5

A: Given:  g(x)=4x(3x+2)^5

Q: Find the derivative of the function. 8x -8x y = -8x Bx + e -&x 8e&_ 8e

A:

Q: Find the second derivative of the function. f(x) = (3 + 2x)e−3x

A: Given:The given function is f(x)=(3+2x)e-3xTo find:The second derivative of function f(x)

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 algebraic function.

A: The given function is fx=x41-2x+1.

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: given,        fx=1-2x4x+5

Q: find value of derivative f'(a) for the given value: f(x)=x2 + 3x + 1, a=3

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. h(x) = (x12 - 1) ª %3D h'(x) =D

A:

Q: find the derivative of f(x)= 2x^3 + 4e^3

A: Given information:The given function is

Q: y = In (*+1) °(x+1), (x+2)3

A:

Q: Find the derivative of the function. g(x) = vx2 - 14x + 49 %3! g (x) = %3D

A:

Q: Find the derivative of the algebraic function.

A: Given algebraic function fx=3x-1x. Differentiating the given function with respect to x,…

Q: Find the derivative of the function. x3 - 1 f(x) : x² +

A: dvu=udv-vduu2

Q: Calculate the derivative of the function. g(x) = (x² – 3x – 1)-7 %3D g'(x) =

A:

Q: Find the derivative of the function f ( x ) = x2−10x+3 using First Principles.

A:

Q: Find the value of x for which the derivative is zero of Y =x +4x - 3x – 5

A:

Q: Find the derivative of the function g(x)=(3x^2+2x+4)e^x

A: Given that: g(x)=(3x2+2x+4)ex

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

A: We know that ddxu=uu×dudx

Q: 5. x= y= t2-1

A:

Q: Find the derivative of the function. g(x) = ex5 - 2x g'(x) = %3D

A:

Q: Find the first derivative of g(x) if g(x) = e²* In(2x) %3D

A:

Q: Find the derivative of the function g(x)=e^x/2−4x g'(x)=

A: Here we need to apply chain rule of differentiation. We have Derivative of e^x is e^x.

Q: Find the derivative of the function. x3 4) y =-1 %3D X- 1

A:

Q: Calculate the derivative of the function. g(x) = (x2 − 5x − 1)−9

A:

Q: Find the derivative of (x+h)²+y²=r²

A: Here the equation is x+h2+y2=r2.

Q: Find the derivative of the function g(x)=(5x^2+2x−1)e^x g'(x)=____

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 f(x) = 3x−1

A:

Q: Find the derivative of the function g(x) = (4x2 + 2x – 3)e

A: g(x)=(4x2+2x-3)ex

Q: Find the First and second derivative of the given y=-x2+3

A:

Q: Find the derivative of f(x) = e2" (3x² – x) %3D

A:

Q: Find the derivative of the function. g (x) = 4x(3x + 2)’ %3D

A: The given function is gx=4x3x+25