Questions from General Calculus

Q: Find the derivative of the function. g(x)

Find the derivative of the function. g(x) = (x2 + 1)3 (x2 + 2)6

Q: Find the derivative of the function. h(t)

Find the derivative of the function. h(t) = (t + 1)2/3 (2t2 – 1)3

Q: Find the derivative of the function. F(t)

Find the derivative of the function. F(t) = (3t – 1)4 (2t +1)-3

Q: Find the derivative of the function. Y = (x

Find the derivative of the function. Y = (x + 1/x)5

Q: Find the derivative of the function. Y = etan θ

Find the derivative of the function. Y = etan θ

Q: Find the derivative of the function. f(t)

Find the derivative of the function. f(t) = 2 t 3

Q: If f (x) = ln(x + ln x

If f (x) = ln(x + ln x), find f ‘(1).

Q: If g(x) = x f (x), where

If g(x) = x f (x), where f (3) = 4 and f ‘(3) = -2, find an equation of the tangent line to the graph of g at the point where x = 3.

Q: Find the derivative of the function. J (θ)

Find the derivative of the function. J (θ) = tan2 (nθ)

Q: Find the derivative of the function. F(t)

Find the derivative of the function. F(t) = e t sin 2t