Exercises for Question Type 2: Derivatives from first principles - IB | RevisionDojo

Question Type 2: Derivatives from first principles Exercises

Question 1

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

[5]

Question 2

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

[4]

Question 3

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

[4]

Question 4

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

[4]

Question 5

Using first principles, find the derivative of $f(x)=3x+2$ . [4]

[4]

Question 6

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

[4]

Question 7

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

[5]

Question 8

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

[5]

Question 9

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

[4]

Question 10

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

[5]

Question 11

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

[4]