Chain Rule Review

Front

Find y' for y= (2x+1)ⁱ⁰

Back

20(2x+1)⁹

Front

Find the derivative of f(x) = (x⁶ + 4)⁵

Back

f '(x) = 30x⁵(x⁶ + 4)⁴

Front

What rule should be used in deriving h(x) = 2(x - 4)³?

Back

Chain rule

Front

Which rule would you need to use for composite functions?

Back

Chain Rule

Front

Find the derivative of f(x) = x³ + x² + 3

Back

3x² + 2x

Front

State the Chain Rule in calculus.

Back

If y = f(g(x)), then dy/dx = f'(g(x)) * g'(x).

Front

What is the Power Rule for derivatives?

Back

If f(x) = xⁿ, then f'(x) = n*xⁿ⁻¹.

Front

Differentiate f(x) = (3x + 2)⁵.

Back

f '(x) = 15(3x + 2)⁴ * 3 = 45(3x + 2)⁴.

Front

Identify the derivative of g(x) = sin(2x).

Back

g'(x) = 2cos(2x).

Front

What is the Product Rule?

Back

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