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calculus online - Free exercises and solutions to help you succeed!

Derivative Rules

Here’s what you can do in derivative calculations:

  • Multiplication by constant Rule:

(af(x))'=af'(x)

  • Sum Rule:

(f(x)+g(x))'=f'(x)+g'(x)

  • Difference Rule:

(f(x)-g(x))'=f'(x)-g'(x)

  • Product Rule:

(f(x)\cdot g(x))'=f'(x)g(x)+f(x)g'(x)

  • Quotient Rule:

(\frac{f(x)}{g(x)})'=\frac{f'(x)g(x)-f(x)g'(x)}{g^2(x)}

  • Chain Rule:

(f(g(x)))'=f'(g(x))g'(x)

Press here for exercises and solutions in derivatives

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