Limits and differentiation

Question 1 of 10

Differentiate y = √x.

Question 2 of 10

Differentiate from first principles: the derivative of x² is found from lim (h→0) of

Question 3 of 10

Find the gradient of the curve y = x³ at x = 2.

Question 4 of 10

Evaluate the limit of (x² − 4)/(x − 2) as x → 2.

Question 5 of 10

Evaluate lim (x→0) (sin 3x)/x.

Question 6 of 10

Differentiate y = 5x³ − 2x.

Question 7 of 10

Differentiate y = 4/x.

Question 8 of 10

Differentiate y = 1/x with respect to x.

Question 9 of 10

The gradient of y = x² at x = 3 is

Question 10 of 10

Differentiate y = (3x − 1)/(x + 2).