M L Aggarwal Solutions for Chapter: Limits and Derivatives, Exercise 4: EXERCISE

Using the definition, find the derivative of $f\left(x\right)=3x$ at $x=2$.

Using the definition, find the derivative of $f\left(x\right)=99x$ at $x=100$.

Using the definition, find the derivative of $f\left(x\right)=x$ at $x=1$.

Using the definition, find the derivative of $f\left(x\right)=3x^2+5$ at $x=-1$.

Using the definition, find the derivative of $f\left(x\right)=x^2+2x+7$ at $x=3$.

Using the definition, find the derivative of $f\left(x\right)=1-4x^2$ at $x=1$.

Find the derivative of the following function from first principles: $x+\frac{1}{x}$

If $f\left(x\right)=x^2-19x+18$, find $f^{\text{'}}\left(2\right),f^{\text{'}}\left(-1\right)$ and $f^{\text{'}}\left(10\right)$ using limiting process only once.