Derivatives Find the derivative of the following functions for the derivative of \sqrt{x}.f(x)=5x^{3}

vazelinahS

vazelinahS

Answered question

2021-05-12

Derivatives Find the derivative of the following functions for the derivative of x.f(x)=5x3

Answer & Explanation

Nathaniel Kramer

Nathaniel Kramer

Skilled2021-05-13Added 78 answers

Step 1: Given that
Derivatives Find the derivative of the following functions for the derivative of x.f(x)=5x3
Step 2: Derivative
We have,
x.f(x)=5x3
Differentiating both sides w.r.t x we obtain,
(x).f(x)+f(x).x=15x2
f(x)2x+x.f(x)=15x2
5x32x×x+x×f(x)=15x2
5x22+x×f(x)=15x2
x×f(x)=15x25x22
f(x)=25x22{x}
f(x)=25x322
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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