Differentiation: rules and techniques

Question 1 of 10

The product rule is d(uv)/dx =

Question 2 of 10

The derivative of a constant is 1.

Question 3 of 10

Find the gradient of the curve y = 2x³ − 5x² + 3 at x = 2 and the equation of the tangent there.

Question 4 of 10

Differentiate y = 4x² + 4x.

Question 5 of 10

If y = 5x², then dy/dx = ___x¹

Question 6 of 10

If y = 4x², then dy/dx = ___x¹

Question 7 of 10

Differentiate y = e^(3x).

Question 8 of 10

d/dx (ln x) =

Question 9 of 10

Given y = x³ − 6x² + 9x + 1, find dy/dx and d²y/dx² and the values of x at which dy/dx = 0.

Question 10 of 10

The chain rule is dy/dx =