Easy Derivatives

Front

Back

f'(x) = -2x^{-3}

Front

Where on a graph would you find a horizontal tangent line?

Back

At x = 0.

Front

Find the derivative of the function f(x) = -4x.

Back

f'(x) = -4.

Front

Back

y' = 8 + 2x^{-3}.

Front

At which point(s) will the slopes of the tangent line be zero?

Back

At points B and D only.

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 does it mean for a function to have a horizontal tangent line?

Back

The derivative at that point is zero.

Front

How do you find the derivative of a constant function?

Back

The derivative of a constant is zero.