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Differentiation to Solve Modified Sum of Binomial Coefficients

What is the d...

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What is the differentiation of x^2/2 ?

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Q. Differentiate:

2 \sqrt{x^{2} + b^{2}}

Q. Assertion :The order of the differential equation, of which

x y = c e^{x} + b e^{- x} + x^{2}

is a solution, is

2

Reason: The differential equation is

x \frac{d^{2} y}{{d x}^{2}} + 2 \frac{d y}{d x} - x y + x^{2} - 2 = 0

Q. Assertion :Consider the function

f (x) = x^{2} - ∣ ∣ x^{2} - 1 ∣ ∣ + 2 | | x | - 1 | + 2 | x | - 7

f

is not differentiable at

x = 1, - 1

0

| x |

is not differentiable at

x = 0

∣ ∣ x^{2} - 1 ∣ ∣

is not differentiable at

x = 1

- 1

.

Q. The function

f (x) = (x^{2} - 1) | x^{2} - 3 x + 2 | + cos | x |

is non-differentiable at

Q. The function

f (x) = (x^{2} - 1) ∣ ∣ x^{2} - 3 x + 2 ∣ ∣ + cos (| x |)

is NOT differentiable at:

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Differentiation to Solve Modified Sum of Binomial Coefficients

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