Find the derivative of the following functions \(\displaystyle{y}={10}^{{{\ln{{2}}}{x}}}\)

Samara Richard 2022-03-22 Answered
Find the derivative of the following functions
y=10ln2x
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Answers (1)

Regan Gallegos
Answered 2022-03-23 Author has 9 answers
Step 1
We use the chain rule
y=10ln(2x)
dydx=10ln(2x)ln(10)ddxln(2x)
Step 2
We again use the chain rule
dydx=10ln(2x)ln(10)12xddx(2x)
dydx=10ln(2x)ln(10)12x(2)
dydx=10ln(2x)ln(10)1x
dydx=10ln(2x)ln(10)x
Answer: 10ln(2x)ln(10)x
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