MathematicsHigh School

Differentiation rules

Turn differentiation into rules

Estimated time · 12 min 7 Content blocks

Core concepts

Formulas

(xn)′=nxn−1,(ex)′=ex,(sin⁡x)′=cos⁡x,(ln⁡x)′=1x\left(x^n\right)' = nx^{n-1},\quad \left(e^x\right)'=e^x,\quad \left(\sin x\right)'=\cos x,\quad \left(\ln x\right)'=\dfrac{1}{x}

Formulas

(uv)′=u′v+uv′,(uv)′=u′v−uv′v2\left(uv\right)'=u'v+uv',\qquad \left(\dfrac{u}{v}\right)'=\dfrac{u'v-uv'}{v^2}

Worked example

Worked example
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Glossary

Chain rule

Prerequisites

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