Questions from General Calculus

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

Find the derivative of the function. G(x) = 4 C/x

Q: If f (x) = cos(ln x2), find

If f (x) = cos(ln x2), find f ‘(1).

Q: Differentiate each trigonometric identity to obtain a new (or familiar)

Differentiate each trigonometric identity to obtain a new (or familiar) identity. (a) tan x = sin x / cos x (b) sec x = 1 / cos x (c) sin x + cos x = 1 + cot x / csc x

Q: Find the derivative of the function. y = x2 e

Find the derivative of the function. y = x2 e-1/x

Q: If f (2) = 10 and f ‘(x)=

If f (2) = 10 and f ‘(x)= x2 f (x) for all x, find f ‘’(2).

Q: Find the derivative of the function. y = cot2 (

Find the derivative of the function. y = cot2 (sin θ)

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

Find the derivative of the function. f(t) = tan (sec(cos t))

Q: Find the derivative of the function. y = e sin

Find the derivative of the function. y = e sin 2x + sin (e2x)

Q: Find the derivative of the function. /

Find the derivative of the function.

Q: Find an equation of the tangent line to the curve at the

Find an equation of the tangent line to the curve at the given point. y = ln (x2 – 3x + 1)