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Class 11 Mathematics Chapter 13 Limits And Derivatives Quiz 6 (25 MCQs)

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1. Evaluate $\lim_{x\rightarrow9}\\frac{x-9}{\sqrt{x}-3}$
2. $\lim_{x\rightarrow2}\left|\frac{x^3-2x^2}{x-5x+6}\right|$
3. Evaluate $\lim_{x\rightarrow2}\left(2x+3\right)$
4. The average rate of change is the same thing as
5. Find the slope of the line tangent to the graph of y = x$^{3}$-3 at (-2, -11).
6. Evaluate $\lim_{x\rightarrow1}\frac{x^2-1}{x-1}$
7. What is the limit of h(x) as x approaches a, if h(x) = p(x)/q(x)?
8. Find the derivative of the given equationf(x) =-4x
9. Want is the equation of the tangent to $f\left(x\right)=3x^2-2x$
10. Evaluate $\lim_{x\rightarrow6}\frac{x^2-36}{x-6}$
11. Differentiate:f(x) = x$^{7}$ (5 + 8x)$^{3}$
12. What is the equation of the tangent line at x = 1 $of$ $f\left(x\right)=\\sqrt{x}$
13. Find h'(t) if h(t)=5x$^{3}$-2x
14. The derivative of x$^{2}$ cos x is
15. Differentiate $f\left(x\right)=\frac{2}{x^5}-5$
16. $Evaluate\\lim_{x\rightarrow0}\\frac{\sin^24x}{x^2}$
17. Find the slope of the tangent line to f(x) =-3x$^{2}$-6x at x = 1.
18. What is the limit of g(x) / h(x) as x approaches a, if g(a) = p and h(a) = q?
19. When is a limit said to exist?
20. $\lim_{x\rightarrow0}=\frac{\sqrt[]{x+4}-2}{x}$
21. Use a graph to find $\lim_{x\rightarrow0}\\frac{1-\cos x}{x}$
22. What is the notation for the derivative of a function f(x)?
23. What happens if direct substitution in limit calculation yields an undefined value?
24. What is the derivative of (uv) with respect to x?
25. If $f(x) = x^2$ $f'(x)$
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