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'
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