Choose the correct alternative: If y = (x )x + (10)x, then dydx = ? - Mathematics and Statistics

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MCQ

Choose the correct alternative:

If y = (x )x + (10)x, then `("d"y)/("d"x)` = ?

Options

  • xx(1 – log x) + 10xlog10

  • xx(1 + log x) – 10xlog10 

  • x(1 + log x) + 10xlog10 

  • xx(1 + log x) + 10xlog10 

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Solution

xx(1 + log x) + 10xlog10 

Concept: The Concept of Derivative - Derivatives of Logarithmic Functions
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Chapter 1.3: Differentiation - Q.1

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