Consider the following functions. f(u) = 4u² h(u) = u + u p(u) = (u² + u)³ 4u2 g(u) = Find the derivative of each function. f'(u) h'(u) = p(u) = g'(u) =

Q: 1 x⁹ Determine the derivative of h. Let h(x) h'(x) = = = 1 9 X 10 Determine the slope of h at x = 2.…

A: h(x)=

Q: Find the derivative of the function. 7x s) - du f(u) du = f(u) du + = Hint: Jsx u2 + 1 g'(x) =

A:

Q: Find all possible functions with the given derivative. y' = 2x² - 6x 2 O A. 3x³ + C 2 O B. 3x³-3x² +…

A: Given,             y' = 2x2 - 6x

Q: Find the derivative of f (y) = 153/g In(y)

A: Given: f(y)=15y3lny

Q: Find the derivative of the function. f(x) = 2x In(x) f'(x) =

A: Let us consider the given function as: fx=2xlnx By using product Rule of derivative, we get:…

Q: Find the derivative of the function Y = r5z

A: Given query is to find the derivative of the function.

Q: Find the derivative of the function. 3 y' = y = x² + 8 x² - 8 -96x- x² +8 2 4 x²-8 2 X

A:

Q: y = v2 – x · In (x)

A:

Q: Find the derivative of the function. y = In(Icsc(7x)|) y'(x) =

A:

Q: Find the derivative of the funcion. y=x-17 +63x+6

A: y = x3-17x2+63x+6 y'=dydx=ddxx3-17x2+63x+6 Here we are gonna use the formula  ddxxn=nxn-1

Q: Since you know how to find the derivative of a product of two functions, use the idea of…

A: The objective is to use the idea of associativity to find the derivative of the product of three…

Q: Find the derivative of the function by first expanding or simplifying the expression. f(x) = (5x-…

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