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Calculus 1: Definition of the Derivative

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Derivatives using the limit definition of the dervative

Compute f′(x)f'(x) using the limit definition of the derivative f′(a)=lim⁡h→0f(a+h)−f(a)hf'(a) = \lim_{h \to 0} \frac{f(a+h) - f(a)}{h} for the following 1. f(x) = 3 2. f(x) = 3x-1 3. f(x) = x2+xx^2 + x 4. f(x) = (x)\sqrt(x) 5. f(x) = 1/x

Definition of the DerivativeEasyVideo
Definition of Derivative Examples

Use the definition of derivatives to find the derivative of the following function,

f(x)=x−1f(x) = \sqrt{x - 1}

Definition of the DerivativeEasyVideo
Definition of Derivative Formula

Use the definition of the derivative to find f′(x)f\prime(x) if

f(x)=23−5xf(x) = \frac{2}{3 - 5x}

Definition of the DerivativeEasyVideo