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Class 11 Mathematics Chapter 13 Limits And Derivatives Quiz 3 (25 MCQs)

Quiz Instructions

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1. Evaluate $\lim_{x\rightarrow0}\left(2x+3\right)$
2. Find and simplify y' if $y=\frac{4x^2-5}{x+3}$
3. $Evaluate\\lim_{h\rightarrow0}\\frac{h^3+2h^2-4h}{h}$
4. What is the limit of f(x) as x approaches a, if f(x) = a?
5. What is f'(x) if f(x) = cos(5x$^{4}$)?
6. D/dx tan x =
7. Find the antiderivative of the function f(x) = 2x$^{5}$.
8. The derivative of a function is its
9. What is the limit of f(x) as x approaches a, if f(a) = u and g(a) = v?
10. Find the derivative of the given equationf(x) = x$^{3}$ + x$^{2}$ + 3
11. Find $\lim_{x\rightarrow\infty}\frac{2+5n^2}{n^2}$
12. What is the derivative of sin(x)?
13. Find the second derivative of the function:f (x) = 2x-5x$^{6}$
14. What does the limit of a function f(x) approaching L as x approaches x0 signify?
15. $\lim_{x\rightarrow-4}\\frac{x^3+64}{x+4}$
16. Find the derivative of the function f (x) = 2x$^{4}$-3x$^{3}$-7x$^{2}$ + 3x-7.
17. If the first derivative of a function is zero at a given value of x, then the tangent line at that point is horizontal.
18. What is the derivative of g(x) = 4x$^{3}$
19. Which of the following is the best description of a derivative?
20. What is the derivative of f at point a?
21. Evaluate $\lim_{x\rightarrow\infty}\-\frac{3x^3}{2x^2-2}$
22. Find dy/dx for y = 4x$^{3 }$+ 3x + 1
23. $\lim_{x\rightarrow3}\\frac{x^2-9}{x^2-5x+6}= ..... $
24. Y=5x$^{2}$+ 3x + 9dy/dx = $_{}$
25. Find the fully simplified Derivative of y = 4x$^{2}$ + 3x + 6x$^{-2}$
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