Commerce Exam > Commerce Tests > Test: Continuity And Differentiability - 2 - Commerce MCQ

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Detailed Solution for Test: Continuity And Differentiability - 2 - Question 1

Test: Continuity And Differentiability - 2 - Question 2

If f (x) is a polynomial of degree m (⩾1) , then which of the following is not true ?

Detailed Solution for Test: Continuity And Differentiability - 2 - Question 2

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Test: Continuity And Differentiability - 2 - Question 3

Let f and g be differentiable functions such that fog = I, the identity function. If g’ (a) = 2 and g (a) = b, then f ‘ (b) =

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Test: Continuity And Differentiability - 2 - Question 5

If f (x) =x^{2}g(x) and g (x) is twice differentiable then f’’ (x) is equal to

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Test: Continuity And Differentiability - 2 - Question 8

Differential coefficient of a function f (g (x)) w.r.t. the function g (x) is

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Test: Continuity And Differentiability - 2 - Question 10

If y = ae^{mx} + be^{−mx}, then y_{2} is equal to

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Test: Continuity And Differentiability - 2 - Question 14

If f(x) be any function which assumes only positive values and f’ (x) exists then f’ (x) is equal to

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Test: Continuity And Differentiability - 2 - Question 15

If y = a sin mx + b cos m x, then is equal to

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Test: Continuity And Differentiability - 2 - Question 18

If y = tan^{−1}x and z = cot^{−1}x then is equal to

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Test: Continuity And Differentiability - 2 - Question 22

If both f and g are defined in a nhd of 0 ; f(0) = 0 = g(0) and f ‘ (0) = 8 = g’ (0), then equal to

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Test: Continuity And Differentiability - 2 - Question 24

The differential coefficient of log (| log x |) w.r.t. log x is

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Test: Continuity And Differentiability - 2 - Question 25

If f is derivable at x = a , then is equal to

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