Calculus : Pre university

What is the derivative of f(x) = 3x^2 + 2x - 5?

• f'(x) = 3x^2 + 2

• f'(x) = 6x - 2

• f'(x) = 3x^2 - 2

• f'(x) = 6x + 2

Find the integral of f(x) = 4x^3 + 3x^2 - 2x + 1.

• 4x^4 + 3x^3 - 2x^2 + x + C

• 4x^4 + 3x^3 - 2x^2 + 1 + C

• 2x^4 + 3x^3 - 2x^2 + x + C

• x^4 + x^3 - x^2 + x + C

What is the limit of (x^2 - 1) / (x - 1) as x approaches 1?

• 2

• 1

• 3

• 0

Solve the differential equation dy/dx = 2x.

• y = 3x

• y = x^3

• y = x^2 + C

• y = 2x

What is the first derivative of y = 3cos(3x)

• -3sin(3x)

• -9sin(3x)

• 3sin(3x)

• 9sin(3x)

Calculate the area under the curve y = 2x + 3 from x = 1 to x = 5.

• 15

• 25

• 20

• 36

Find the value of x^3 - 6x^2 + 9x=0

• The points are x = 2 and x = 4.

• The points are x = 5 and x = 7.

• The points are x = -1 and x = 0.

• The points are x = 0 and x = 3.

Determine the slope of the tangent line to the curve y = x^2 at the point (2, 4).

• 4

• 6

• 2

• 8

Evaluate the integral of f(x) = 2x + 2 from x = 0 to x = 4.

• 24

• 21

• 20

• 18

What is the differentitation of 2e^2x?

• e^2x

• 4e^2x

• (e^2x +1)/2x +1

• 2e^2x