Question

What is a Derivative in Math?

Answer 1

Derivative:

• A derivative is the instantaneous rate of change of a function with respect to any of its variables.
• The derivative of a function $f\left(x\right)$ is written as$\frac{d\left[f\left(x\right)\right]}{dx}$.
• In a graph, the derivative is the slope of the tangent of the function.
• Since the slope is the value of $\tan \theta$, $\frac{dy}{dx}=\tan \theta$
• $\frac{dy}{dx}=0$ is the point where the function attains its maximum of minimum value or it can be defined as the point where the slope is $0.$

Hence, the meaning of derivative is explained.