Class 11 Mathematics Chapter 13 Limits And Derivatives Quiz 7 (19 MCQs)

Quiz Instructions

Select an option to see the correct answer instantly.

1. F'(x) = 3x+4. Find the slope of the line tangent to f(x) at the point (0, 7)

Correct Answer: B) 4.

2. Which of the following is an application of derivatives?

Correct Answer: A) Finding the maximum or minimum values of a function.

3. $Evaluate\\int_1^5x^3dx$

Correct Answer: A) 156.

4. Find an equation for the slope of the graph of y = x$^{3}$-7

Correct Answer: C) M = 3x$^{2}$.

5. Differentiate 1/x$^{2}$

Correct Answer: B) -2/x$^{3}$.

6. Instantaneous rate of change means the same thing as

Correct Answer: A) Slope of the tangent line.

7. Evaluate $\lim_{x\rightarrow1}\\frac{3x^2-7x+4}{2x^2+3x-5}$

Correct Answer: D) $-\frac{1}{7}$.

8. Find the derivative of f(x) = 5x$^{2}$ + 7x-3.

Correct Answer: B) 10x + 7.

9. What is the derivative of ax?

Correct Answer: A) A.

10. $Evaluate\\lim_{x\rightarrow0}\\frac{\left(1+x\right)^5-1}{\left(1+x\right)^2-1}$

Correct Answer: C) 3.

11. Find the derivative of the given equationf(x) = x$^{4}$$^{ }$

Correct Answer: C) 4x$^{3}$.

12. What is the derivative of a real valued function f at point a?

Correct Answer: A) F(a+h)-f(a)/h.

13. Find the derivative of the given equation $x^3+x^2+12$

Correct Answer: A) $3x^2+2x$.

14. The instantaneous rate of change is the same things as

Correct Answer: A) The derivative.

15. What is the derivative of x$^{n}$?

Correct Answer: D) Nx$^{n-1}$.

16. What is the limit $\lim_{x \to 3} (x^2-9)$

Correct Answer: A) 0.

17. $\lim_{x+2\rightarrow0}\\frac{8x^2+14x-4}{2\left(x+2\right)}= ..... $

Correct Answer: A) $-9$.

18. $\lim_{x\rightarrow\frac{1}{2}}=\frac{x^{-1}-2}{x-\frac{1}{2}}$

Correct Answer: D) -4.

19. To find the derivative of f(x) = xe$^{x }$you should use:

Correct Answer: A) The product rule.