Find the derivative of the function f(x) = 9x2 - 15x by the de f(r + h) - f(x) f'(x) = lim h>0

Q: Find the derivative of f(x) = x²(x² + V¤)

A:

Q: Let f'(x) = f(x) = = 4x √8 - 6x

A:

Q: ●y = (x+1)² √x+1 W= t+1 t-1 -t -)×(1-1 1-2t

A:

Q: What is the derivative of the function f(x)=1/x+1 at x=1?

A: To find out the derivative of the function at x=1

Q: Differentiate the function.

A:

Q: f(x) = Arctan csc² ( 3x

A: Some derivative formulae: ddxtan-1x=11+x2ddxcscx=-cscx cotx Chain rule of derivative:…

Q: Use derivative rules to compute f'(-1) given f (x) = -4x8-32x - 4.

A: f(x)=-4x8-32x-4Formula: xn'=n xn-1

Q: Find the derivative of the f(x) = px + b %3D f'(x) = %3D

A: differnetiate f(x) with respect to x.

Q: f(x) =e*(cosx) . Find the derivative of

A:

Q: f(x)= 4/x , x=3. Use definition of derivative as x approaches 0

A:

Q: Evaluate the derivative of f(x) = (arctan(x))4ª

A: .

Q: ļim (* +4)- ƒ(x) 3. Find the derivative of the following functions using the Show all your steps. a.…

A: f'(x)=lim(h tends to 0) {f(x+h)-f(x)}/h use this for derivative

Q: Find the derivative of f(x) = 6* – 3* + In x -

A: Differentiate: fx=6x-3x+lnx

Q: exp(x²) Vx²+1)( ¥2x* +3 18. f(x)= Vx*+1

A:

Q: Consider the function f(x)= x^2−3x.   Compute the derivative using the definition

A: In order to solve this question we will use the concept of first principle which defines derivative.