GRE Subject 2026 Practice Test Maths Calculus Free Quiz 1

1. What does calculus deal with?

A. Rates of change and accumulation B. Algebra C. Geometry D. Statistics

2. What does the derivative of a function represent?

A. Area under the curve B. Integral C. Slope of tangent line D. Limit

3. What is the derivative of f(x) = x^n?

A. x^(n+1)/(n+1) B. n x^n C. x^(n-1) D. n x^(n-1)

4. What is the derivative of sin(x)?

A. -cos(x) B. cos(x) C. -sin(x) D. sec^2(x)

5. What is the derivative of e^x?

A. x e^(x-1) B. ln(x) C. e^x D. 1/x

6. What is the derivative of ln(x)?

A. x B. e^x C. 1 D. 1/x

7. What is the integral of sin(x) dx?

A. -cos(x) + C B. cos(x) + C C. -sin(x) + C D. sec(x) + C

8. What is the integral of cos(x) dx?

A. -sin(x) + C B. cos(x) + C C. sin(x) + C D. -cos(x) + C

9. What theorem connects differentiation and integration?

A. Chain rule B. Fundamental Theorem of Calculus C. Product rule D. Quotient rule

10. What rule is used to differentiate composite functions?

A. Chain rule B. Product rule C. Quotient rule D. Power rule