rheisf

Answered

2021-12-29

What is the derivative of $x\mathrm{sin}x$

Answer & Explanation

Bernard Lacey

Expert

2021-12-30Added 30 answers

Explanation:

We have:

Which is the product of two functions, and so we apply the Product Rule for Differentiation:

I was taught to remember the rule in words; "The first times the derivative of the second plus the derivative of the first times the second ".

So with

Then:

Gives us:

If you are new to Calculus then explicitly substituting u and v can be quite helpful, but with practice these steps can be omitted, and the product rule can be applied as we write out the solution.

Maricela Alarcon

Expert

2021-12-31Added 28 answers

This is a function which is in the form,

$y=f\left(x\right)g\left(x\right)$

Its

Its

Vasquez

Expert

2022-01-08Added 457 answers

Finally found the answer to this difficult question, I'm happy

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