For the composite function, identify an inside function and an outside function and write the derivative with respect to x of the composite function. (The function is of the form g(h(x)). Use non-identity functions for g(h) and h(x).) fx) f(x) 9(3x22)5 g(h), h(x) = {9x3,3r2+2 270x(3x2+2)4 f'(x)

Q: A1) Using the definition of derivative, find the derivative of f(x) = x² + 7x + 7.

A:

Q: Find the derivatives of the following function f(x) from the first principles x4+4

A: Form first principal of derivative, use the limit as given below and find the derivative.

Q: Use the product rule to find the derivative of the following function. Show work, leave in…

A: Given that th function is                       To find the derivative of the given function by…

Q: Suppose that f is a function given as f(x) = -3x² - 2x - 3. Simplify the expression f(x + h). f(x +…

A: f(x)=-3x2-2x-3(i) f(x+h)=-3(x+h)2-2(x+h)-3

Q: Q.2. Find the Derivative 5 g(x)=12x4 -6/x+ a) g(x)=(x² – 5)(x³ +3) h)

A: Q.2 Find the derivative.a) gx=12x4-6x+5xb) gx=x2-5x3+3 Formulae to be used…

Q: Consider the following functions: f(x)= x2+3 and g(x) = (1)/(x-4)   1) Find f (g(x)) . You are not…

A:

Q: Take the derivative of this function using the power rule, product rule or quotient rule.

A: Given Data: Function: gx=x3-26x+5   The power rule of the differentiation is, ddxxn=nxn-1 ......1…