Assume that f (x) is differentiable functions for all x. Find the derivative of h(x) = x³. f(x).

Q: U₁₂ 4; 6; -3 3 2 u = x 2² - sin (x²-sy) + / ln (x²452) 2

A:

Q: F(X) = X + よ2 %3D

A: Given, fx=x+3x2

Q: Use the definition of the derivative to find the derivative of the function f(x) = 3/x and g(x) =…

A: Given f(x) = 3x then f'(x) = limh→0f(x+h)-f(x)h= limh→03x+h-3xh= limh→03x-3x-3hx(x+h)h=…

Q: Let f(x) = r - 3z2 - 1. Calculate the derivative

A:

Q: Let f be a function. Explain, using any method , as to why f(x) and f(x) + 2 have the same…

A:

Q: (

A:

Q: Use the definition of the derivative to find f(x) where f(x)=DV3x+1

A: f(x)=3x+1

Q: F(x) = X2

A: Consider the function: fx=x2 The derivative of f(x) with respect to x is the function f′(x) and is…

Q: f(x) = x(=") – (x*)*, x > 0. – (2*)*, x > 0. %3D

A: We have to find the derivative of  f(x)=x(xx)-(xx)x ,  x>0

Q: F(x) = X

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: Find the derivative of f(x) = x3 + 2x, use the definition of the derivative

A:

Q: Explain how to find the derivative of the function f(x) = cxn .

A: we have to explain how to find the derivative of the given function f(x)=cxn

Q: Use the definition of the derivative of a function to determine f'(x) where f(x)=-

A: