Ch 3 Test Review Day 2

Front

What is the derivative of sin(x)?

Back

cos(x)

Front

Find the derivative of the constant function f(x) = 7.

Back

0

Front

Find the derivative of f(x) = 1/x^2.

Back

-2x^-3

Front

At what x-value(s) does f(x) have a minimum? (Given f(x) has a minimum at x=1)

Back

x = 1

Front

Find the derivative of f(x) = x^4 + 4x^3 - 2x^2.

Back

4x^3 + 12x^2 - 4x

Front

What is the power rule for differentiation?

Back

If f(x) = x^n, then f'(x) = n*x^(n-1).

Front

What is the product rule for differentiation?

Back

If u(x) and v(x) are functions, then (uv)' = u'v + uv'.

Front

What is the quotient rule for differentiation?

Back

If u(x) and v(x) are functions, then (u/v)' = (u'v - uv')/v^2.

Front

What is the derivative of e^x?

Back

e^x

Front

What is the chain rule for differentiation?

Back

If f(g(x)) is a composite function, then (f(g(x)))' = f'(g(x)) * g'(x).