Question Type 2: Derivatives from first principles Bootcamps

Using first principles, find the derivative of $f(x)=3x+2$.

Using first principles, find the derivative of $f(x)=x^2+1$.

Using first principles, find the derivative of $f(x)=x^3$.

Using first principles, find the derivative of $f(x)=2x^2 - x$.

Using first principles, find the derivative of $f(x)=5x^4$.

Using first principles, find the derivative of $f(x)=x^5$.

Using first principles, find the derivative of $f(x)=\tfrac1x$.

Using first principles, find the derivative of $f(x)=\sqrt{x}$.

Using first principles, find the derivative of $f(x)=\tfrac{1}{\sqrt{x}}$.

Using first principles, find the derivative of $f(x)=\sin(x)$.

Using first principles, find the derivative of $f(x)=\cos(x)$.