Question

What do you mean by derivative?

Answer 1

Derivative:

1. A derivative is the instantaneous rate of change of a function with respect to any of its variables.
2. It is usually represented as $\frac{d\left[f\left(x\right)\right]}{dx}$or $\frac{dy}{dx}$.
3. Graphically, the derivative is the slope of the tangent of a curve.

$\underset{∆x\to 0}{\lim }\frac{df}{dx}=\frac{f\left(x+∆x\right)-f\left(x\right)}{∆x}$

Hence, the meaning of derivative is explained.