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Exercise

$\frac{d}{dx}y^2=12x$

Step-by-step Solution

Learn how to solve power rule for derivatives problems step by step online. Find the implicit derivative d/dx(y^2=12x). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 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}.
Find the implicit derivative d/dx(y^2=12x)

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Final answer to the exercise

$y^{\prime}=\frac{6}{y}$

Try other ways to solve this exercise

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  • 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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Similar Questions Solved

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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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