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Continuity and Differentiability EXERCISE 5.2 Solutions
- Q1: Differentiate the functions with respect to $x$. $\sin(x^2 + 5)$
- Q2: Differentiate the functions with respect to $x$. $\cos(\sin x)$
- Q3: Differentiate the functions with respect to $x$. $\sin(ax + b)$
- Q4: Differentiate the functions with respect to $x$. $\sec(\tan(\sqrt{x}))$
- Q5: Differentiate the functions with respect to $x$. $\frac{\sin(ax+b)}{\cos(cx+d)}$
- Q6: Differentiate the functions with respect to $x$. $\cos x^3 \cdot \sin^2(x^5)$
- Q7: Differentiate the functions with respect to $x$. $2\sqrt{\cot(x^2)}$
- Q8: Differentiate the functions with respect to $x$. $\cos(\sqrt{x})$
- Q9: Prove that the function $f$ given by $f(x) = |x - 1|$, $x \in R$ is not differentiable at $x = 1$.
- Q10: Prove that the greatest integer function defined by $f(x) = [x]$, $0 < x < 3$ is not differentiable at $x = 1$ and $x = 2$.
Other Exercises for CBSE - Class 12 Mathematics Continuity and Differentiability
- Continuity and Differentiability Class 12 EXERCISE 5.1
- Continuity and Differentiability Class 12 EXERCISE 5.3
- Continuity and Differentiability Class 12 EXERCISE 5.4
- Continuity and Differentiability Class 12 EXERCISE 5.5
- Continuity and Differentiability Class 12 EXERCISE 5.6
- Continuity and Differentiability Class 12 EXERCISE 5.7
Chapters in CBSE - Class 12 Mathematics
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