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# Linearity of Derivatives

## 1.3 Further Exploring Derivatives

#### Derivatives Concepts: Recap

f^{\prime}(x)=\frac{d y}{d x}=\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}

where the original function is y=f(x).

• It is also the gradient of the tangent line to f(x).