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Questions › JNU › JNU SSS 2016 › Q21
1 markMathematics › Limits, continuity and differentiability › Rules of differentiationEasyabout 1 min

JNU SSS 2016 Question 21: Limits, continuity and differentiability

Let log⁡(x)\log(x)log(x) represent the natural logarithm of xxx. Now let f(x)=axf(x) = a^xf(x)=ax where aaa is a positive constant. Then the derivative of f(x)f(x)f(x) w.r.t. xxx is

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Let log (x) represent the natural logarithm of x. Now let f(x) = a^x where a is a positive constant. Then the derivative of f(x) w.r.t. x is (A) 1 (B) 0 (C) x² log (a) (D) a^x log (a)

Limits, continuity and differentiability has come up 122 times in 7 exams since 2006.

What this question tests

This question is on Rules of differentiation, part of Limits, continuity and differentiability in Mathematics.

Finding derivatives with the power, product, quotient and chain rules.

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