AP Calc Review 5/10

Front

What is the derivative of y = cot(x)sin(x)?

Back

-sin(x)

Front

What is the "outside" of the composition 2(x^3-1)^2?

Back

2x^2

Front

Find the derivative of y = \frac{\tan x}{2x-3}.

Back

\frac{dy}{dx}=\frac{(2x-3)\sec^2x-2\tan x}{(2x-3)^2}

Front

Does the expression \frac{d}{dx}[h(t(x))] require the Chain Rule?

Back

Yes

Front

Find the derivative of f(x) = -2cos(x).

Back

2sin(x)

Front

What is the Chain Rule in calculus?

Back

The Chain Rule is a formula for computing the derivative of the composition of two or more functions.

Front

Define the product rule for derivatives.

Back

If u and v are functions of x, then \frac{d}{dx}[uv] = u'v + uv'.

Front

What is the quotient rule for derivatives?

Back

If u and v are functions of x, then \frac{d}{dx}[\frac{u}{v}] = \frac{u'v - uv'}{v^2}.

Front

What is the derivative of sin(x)?

Back

cos(x)

Front

What is the derivative of cos(x)?

Back

-sin(x)