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CBSE - Class 12 > Mathematics > Continuity and Differentiability Worksheets

Free CBSE - Class 12 Mathematics - Continuity and Differentiability worksheets

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Here is a Sample Worksheet for you to Practice. Download this worksheet to see the answers.

1.
If $y = Ae^{mx} + Be^{nx}$, show that $\frac{d^2y}{dx^2} - (m + n)\frac{dy}{dx} + mny = 0$
2.
If $y = 500e^{7x} + 600e^{-7x}$, show that $\frac{d^2y}{dx^2} = 49y$
3.
If $e^y (x + 1) = 1$, show that $\frac{d^2y}{dx^2} = \left(\frac{dy}{dx}\right)^2$
4.
If $y = (\tan^{-1} x)^2$, show that $(x^2 + 1)^2 y_2 + 2x(x^2 + 1)y_1 = 2$
5.

Find the second order derivatives of the functions. $\tan^{-1} x$

6.

Find the second order derivatives of the functions. $\log(\log x)$

7.

Find the second order derivatives of the functions. $\sin(\log x)$

8.
If $y = 5 \cos x - 3 \sin x$, prove that $\frac{d^2y}{dx^2} + y = 0$
9.
If $y = \cos^{-1} x$, Find $\frac{d^2y}{dx^2}$ in terms of $y$ alone.
10.
If $y = 3 \cos(\log x) + 4 \sin(\log x)$, show that $x^2 y_2 + xy_1 + y = 0$
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Chapters in CBSE - Class 12 Mathematics

Application of Derivatives Worksheet Application of Integrals Worksheet Determinants Worksheet Differential Equations Worksheet Integrals Worksheet Inverse Trigonometric Functions Worksheet Linear Programming Worksheet Matrices Worksheet Probability Worksheet Relations and Functions Worksheet Three Dimensional Geometry Worksheet Vector Algebra Worksheet

Free Continuity and Differentiability Worksheets

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Top Concept Videos in Mathematics Continuity and Differentiability

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