Calculus

Question 1 of 10

Find ∫ (2x + 3) dx.

Question 2 of 10

Differentiate y = sin 3x with respect to x.

Question 3 of 10

Find dy/dx if y = ln(3x).

Question 4 of 10

The gradient of y = ln(2x) at x = 1 is

Question 5 of 10

Find the minimum value of y = x² − 6x + 10.

Question 6 of 10

Find the area between the curve y = 2x, the x-axis and the lines x = 0 and x = 3.

Question 7 of 10

If s = 2t³ − 3t², find the acceleration at t = 2.

Question 8 of 10

Differentiate y = (2x + 1)³ with respect to x.

Question 9 of 10

Find dy/dx if y = x² eˣ.

Question 10 of 10

Find the equation of the tangent to y = x² at (2, 4).