Questions from General Calculus

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

If f (x) = sin x + ln x, find f'(x). Check that your answer is reasonable by comparing the graphs of f and f'.

Q: Let f (x) = cx + ln (cos x

Let f (x) = cx + ln (cos x). For what value of c is f'(π/4) = 6?

Q: Use logarithmic differentiation to find the derivative of the function.

Use logarithmic differentiation to find the derivative of the function. y = (2x + 1)5(x4 – 3)6

Q: Differentiate the function. f (x) = 5√

Differentiate the function. f (x) = 5√ln x

Q: Differentiate the function. f (x) = ln 5

Differentiate the function. f (x) = ln 5√x

Q: Differentiate the function. f (x) = sin x

Differentiate the function. f (x) = sin x ln (5x)

Q: Differentiate the function. f (t) = x 1

Differentiate the function. f (t) = x 1 + ln t/1 – ln t

Q: Differentiate the function. F (t) = ln (

Differentiate the function. F (t) = ln (2t + 1)3/ (3t – 1)4

Q: Differentiate the function. h (x) = ln (

Differentiate the function. h (x) = ln (x + √x2 – 1)

Q: Differentiate the function. g (x) = ln (

Differentiate the function. g (x) = ln (x √x2 – 1)