Use exponential and logarithmic differentiation to find the derivatives of the f

Kyran Hudson 2021-10-18 Answered
Use exponential and logarithmic differentiation to find the derivatives of the following function:
5xx3
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Anonym
Answered 2021-10-19 Author has 108 answers
Step 1
Given,
5xx3
Step 2
Taking logrithmic on both sides
lny=ln(5xx3)
Using the product rule of the derivative.
1ydydx=(x3)ddx(ln(5x))+(ln(5x))ddx(x3)
1ydydx=(x3)(15x(5))+(ln(5x))(1)
1ydydx=(x3)(1x)+ln(5x)
1ydydx=(x3)x+ln(5x)
dydx=y[(x3)x+ln(5x)]
dydx=5xx3[(x3)x+ln(5x)]
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