Question

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

Answer 1

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.