Calculus Quiz

What is the derivative of sin(x)?

• csc(x)

• sec(x)

• tan(x)

• cos(x)

Find the derivative of f(x) = sin(x^3 - x^2).

• 3x^2cos(x^3) - 2xsin(x^2)

• 3x^2cos(x) - 2xsin(x)

• 3x^2cos(x^2) - 2xsin(x^3)

• 3x^2cos(x^3 - x^2) - 2xsin(x^3 - x^2)

What is the derivative of cos(x)?

• csc(x)

• sec(x)

• cot(x)

• sin(x)

Find the third derivative of y = 1/x.

• -6/x^4

• -6/x^3

• -6/x

• -6/x^2

If F(x) = x^2 + 1, what is F'(x)?

• 2x

• 2x + 1

• 2x - 1

• 2

Differentiate y = (sec(x))(x - tan(x)).

• sec(x) - sec^2(x)

• sec(x) + sec(x)tan(x)

• sec(x) - sec(x)tan(x)

• sec(x) + sec^2(x)

Find the derivative of ln(x^2 / (x - 2)).

• 2/(x - 2)

• 2/(x^2 - 2)

• 2/x^2

• 2/x

If y = u^3 - u^2 + u + 1 and u = x^3 + 1, what is dy/dx?

• 3x^2(u^2 - u + 1)

• 3x^2(u^2 + u + 1)

• 3x^2(u^2 - u - 1)

• 3x^2(u^2 + u - 1)

What is the derivative of sinh(x^2+2)?

• 2xcosh(x^2+2)-4sinh(x^2+2)

• 2xcosh(x^2+2)-2sinh(x^2+2)

• 2xcosh(x^2+2)+2sinh(x^2+2)

• 2xcosh(x^2+2)

Find the derivative of cosh^2(ln(2x))

• (2cosh(ln(2x)))/(2x)+2sinh(ln(2x))

• (2cosh(ln(2x)))/(2x)-2sinh(ln(2x))

• (2cosh(ln(2x)))/(2x)

• (2cosh(ln(2x)))/(2x)-4sinh(ln(2x))