Antiderivatives

Derivatives of Polynomials

100

The derivative of x².

What is 2x?

200

The derivative of x.

What is 1?

300

The derivative of 5.

What is 0?

400

The derivative of 1/3*x³.

What is x²?

500

The derivative of x⁴.

What is 4x³?

Antiderivatives of Polynomials

100

The derivative of this function is 2x.

What is x²? (Other answers are possible.)

200

The derivative of this function is 1.

What is x? (Other answers are possible.)

300

The derivatives of this function is 0.

Many answers are possible.

400

The derivative of this function is x².

What is 1/3*x³? (Other answers are possible.)

500

The derivative of this function is x³.

What is 1/4*x⁴? (Other answers are possible.)

Derivatives of Power Functions

100

The derivative of x^-1.

What is -x^-2?

200

The derivative of x^-2.

What is -2x^-3?

300

The derivative of x^1/2.

What is 1/2x^-1/2?

400

The derivative of x^1/3.

What is 1/3*x^-2/3?

500

The derivative of x^-1/2.

What is -1/2*x^-3/2?

Antiderivatives of Power Functions

100

The derivative of this function is -x^-2.

What is x^-1? (Other answers are possible.)

200

The derivative of this function is x^-3.

What is -1/2*x^-2? (Other answers are possible.)

300

The derivative of this function is 1/2*x^-1/2.

What is x^1/2? (Other answers are possible.)

400

The derivative of this function is x^-2/3.

What is 3x^1/3? (Other answers are possible.)

500

The derivative of this function is x^-3/2.

What is -2x^-1/2? (Other answers are possible.)

Antiderivatives of Trigonometric Functions

100

The derivative of this function is cos(x).

What is sin(x)? (Answers may vary.)

200

The derivative of this function is -sin(x).

What is cos(x)? (Answers may vary.)

300

The derivative of this function is sin(x).

What is -cos(x)? (Answers may vary.)

400

The derivative of this function is sec²(x).

What is tan(x)? (Answers may vary.)

500

The derivative of this function is sec(x)tan(x).

What is sec(x)? (Answers may vary.)