What is the derivative of 10^x?

Pam Stokes

Pam Stokes

Answered question

2022-01-02

What is the derivative of 10x?

Answer & Explanation

Jeremy Merritt

Jeremy Merritt

Beginner2022-01-03Added 31 answers

There is a rule for differentiating these functions
ddx[au]=(lna)(au)dudx
Notice that for our problem a=10 and u=x so lets
Stella Calderon

Stella Calderon

Beginner2022-01-04Added 35 answers

Taking natural log on both sides,
lny=ln10x
We have, ln(ab)=blna
Likewise, ln(10x)=xln10
So, lny=xln10
Now differentiate with respect to x
1ydydx=ln10
dydx=yln10
Plug in y=10x
dydx=10xln10
Vasquez

Vasquez

Expert2022-01-09Added 669 answers

Using, ddx(ax)=axloga
ddx(10x)=10xlog10
This is the derivative of y=10x

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