Find the derivatives: f(x)=\frac{x^{2}+2x+5}{x^{2}+1}

Lewis Harvey

Lewis Harvey

Answered question

2021-06-13

Find the derivatives:
f(x)=x2+2x+5x2+1

Answer & Explanation

l1koV

l1koV

Skilled2021-06-14Added 100 answers

Step 1
Given function
f(x)=x2+2x+5x2+1
Using quotien rule of the derivative
fy=uv then y=vuuvv2
Step 2
The derivative of f with respect to x.
f(x)=(x2+1)ddx(x2+2x+5)(x2+2x+5)ddx(x2+1)(x2+1)2
f(x)=(x2+1)(2x+2)(x2+2x+5)(2x)(x2+1)2
f(x)=2x3+2x+2x2+22x34x210x(x2+1)2
f(x)=2x28x+2(x2+1)2

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?