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Exercise

$\frac{d}{dy}\left(y^{\ln\left(x\right)}\right)$

Step-by-step Solution

1

The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$

$y^{\left(\ln\left(x\right)-1\right)}\ln\left(x\right)$

Final answer to the exercise

$y^{\left(\ln\left(x\right)-1\right)}\ln\left(x\right)$

Try other ways to solve this exercise

  • Choose an option
  • Find the derivative using the definition
  • Find the derivative using the product rule
  • Find the derivative using the quotient rule
  • Find the derivative using logarithmic differentiation
  • Find the derivative
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
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Main Topic: Power Rule for Derivatives

The power rule is used to differentiate functions of the form f(x)=x^a, when a is a real number.

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