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Logarithmic Differentiation

Let fx = 2x2 ...

Question

Let f(x) = 2x² + 4, g(x) = sin(πx), then the value of [f′(1) + g′(0)] is (where [·] represents the greatest integer function)

माना f(x) = 2x² + 4, g(x) = sin(πx), तब [f′(1) + g′(0)] का मान है (जहाँ [·] महत्तम पूर्णांक फलन को दर्शाता है

A

4

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B

3

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C

5

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D

7

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Solution

The correct option is D 7
Solution

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Q. More than One Answer Type
एक से अधिक उत्तर प्रकार के प्रश्न

Given f(x) = [·] then which of the following is/are incorrect? ([×] represent, greatest integer function)

दिया है f(x) = [·] तब निम्नलिखित में से कौनसा/कौनसे विकल्प गलत है/हैं? ([×] महत्तम पूर्णांक फलन को दर्शाता है)

Q. Range of f(x) = {x} is (where {·} represents the fractional part function)

f(x) = {x} का परिसर है (जहाँ {·} भिन्नात्मक भाग फलन को दर्शाता है)

f, g : R \to R

are functions such that

f (x) = 3 x - sin (\frac{π x}{2}), g (x) = x^{3} + 2 x - sin (\frac{π x}{2})

\frac{d}{d x} f^{- 1} {(g^{- 1} (x))}_{x = 12}

f : (0, \infty) \to R

f (x) = {tan}^{- 1} ({log}_{2} (x))

g : R \to R

g (x) = \frac{2 x^{2} - 3 x + 2}{2 x^{2} + 3 x + 2}

f \circ g

denotes the composition of

f

g,

f : (0, \infty) \to R

f (x) = {tan}^{- 1} ({log}_{2} (x))

g : R \to R

g (x) = \frac{2 x^{2} - 3 x + 2}{2 x^{2} + 3 x + 2}

f \circ g

denotes the composition of

f

g,

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Logarithmic Differentiation

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