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To find y′ for the given function y=x2+3x+5 / √4−5x(x2+5)2 using logarithmic differentiation

User Timour
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Final answer:

To find y′ for the given function y=x2+3x+5 / √4−5x(x2+5)2 using logarithmic differentiation, follow the steps outlined in the detailed answer.

Step-by-step explanation:

To find y′ for the given function y = (x^2 + 3x + 5) / (√(4−5x)(x^2 + 5))^2 using logarithmic differentiation, follow these steps:

  1. Take the natural logarithm of both sides of the equation.
  2. Use the logarithmic properties to simplify the expression.
  3. Differentiate both sides of the equation with respect to x using the chain rule.
  4. Solve for y′ in terms of x.

Keep in mind that logarithmic differentiation is a technique used to differentiate functions that are a quotient or a product of functions without having to use the quotient or product rule directly.

User Krunal Mevada
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