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a) Find the derivative. Assume that f is an unknown function with input variable

ID: 2836796 • Letter: A

Question

a) Find the derivative. Assume that f is an unknown function with input variable x. d/dx(x3 + 7f)

b) Find the derivative. Assume that g is an unknown function with input variable x. d/dx(3x^2 ? 4g)

c) Find the derivative. Assume that f is an unknown function with input variable t. d/dt(t^2 f)

d) Find the derivative. Assume that f is an unknown function with input variable x. d/dx(x/f+1)     d/dx(f/x+1)

e) Find the derivative. Assume that f is an unknown function with input variable x. d/dx(f^ 4)

f) Find the derivative. Assume that f is an unknown function with input variable x. d/dx(e^f)

Explanation / Answer

(a) 3+f'

(b)6x-4g'

(c)2tf+ft^2

(d)d/dx(x/f+1)=(f'(f+1)+x)/(f+1)^2 and d/dx(f/x+1)=(f'-f(x+1))/(x+1)^2

(e)4f^3*f'

(f)e^f*f'