Differentiation Concepts Flashcards

Front

Power Rule

Back

\frac{d}{dx}(x^n) = nx^{n-1}

Front

Derivative of sin(x)

Back

cos(x)

Front

Derivative of cos(x)

Back

-sin(x)

Front

Derivative of e^x

Back

e^x

Front

Derivative of ln(x)

Back

\frac{1}{x}

Front

Product Rule

Back

\frac{d}{dx}(uv) = u'v + uv'

Front

Quotient Rule

Back

\frac{d}{dx}\left(\frac{u}{v}\right) = \frac{u'v - uv'}{v^2}

Front

Chain Rule

Back

\frac{d}{dx}(f(g(x))) = f'(g(x)) \cdot g'(x)

Front

Slope of Tangent Line

Back

Derivative at a point

Front

Concavity and Second Derivative

Back

f''(x) > 0: Concave up, f''(x) < 0: Concave down