Questions from General Calculus

Q: Differentiate. f (x) = (3x2 - 5x

Differentiate. f (x) = (3x2 - 5x)ex

Q: Differentiate the function. H(u) = (3u

Differentiate the function. H(u) = (3u - 1)(u + 2)

Q: Find the 50th derivative of y=cos 2x.

Find the 50th derivative of y=cos 2x.

Q: Differentiate. f (x) = x cos x +

Differentiate. f (x) = x cos x + 2 tan x

Q: If f is a differentiable function, find an expression for the

If f is a differentiable function, find an expression for the derivative of each of the following functions. (a) y = x2 f (x) (b) y = f (x) / x2 (c) y = x2 / f (x) (d) y = 1 + x f (x) / √x

Q: Differentiate. f (x) = ex cos x

Differentiate. f (x) = ex cos x

Q: Differentiate. y = 2 sec x - csc x

Differentiate. y = 2 sec x - csc x

Q: Differentiate f and find the domain of f. f(

Differentiate f and find the domain of f. f(x) = ln (x2 – 2x)

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

If f (x) = ex g(x), where g(o) = 2 and g’(o) = 5, find f ‘(0).

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

Find the derivative of the function. F(x) = (5x6 + 2x3)4