Questions from General Calculus

Q: Find the derivative of the function. y = sec2x +

Find the derivative of the function. y = sec2x + tan2x

Q: Find the derivative of the function. y = eu –

Find the derivative of the function. y = eu – e-u / eu + e-u

Q: If H (θ) = θ sin θ, find H'

If H (θ) = θ sin θ, find H'(θ) and H"(θ).

Q: Find the derivative of the function. y = ektan√

Find the derivative of the function. y = ektan√x

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

Find the derivative of the function. y = sin (tan 2x)

Q: Write the composite function in the form f (g (x

Write the composite function in the form f (g (x)). [Identify the inner function u = g (x) and the outer function y = f (u).] Then find the derivative dy/dx. y = tan πx

Q: Suppose that the only information we have about a function f is

Suppose that the only information we have about a function f is that f (1) = 5 and the graph of its derivative is as shown. (a). Use a linear approximation to estimate f (0.9) and f (1.1). (b). Are...

Q: Find the derivative of the function. y = 2 simπx

Find the derivative of the function. y = 2 simπx

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

Find the derivative of the function. y = sin (sin (sin x))

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

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