Answered: "Calculating derivatives Find the derivative of the following..."

College
Calculus and Analysis
Differential Calculus
Derivatives

generals336

Answered question

2021-10-21

Calculating derivatives Find the derivative of the following functions.

y = x \sin x

Answer & Explanation

Daphne Broadhurst

Skilled2021-10-22Added 109 answers

Step 1: Concept/ Formula
Product rule
$(f g)^{'} = f^{'} g^{'}$
Derivative formula
$\frac{d}{d x} \sin x = \cos x$
$\frac{d}{d x} x^{n} = n x^{n - 1}$
Step 2: Solution
$y = x \sin x$
$y^{'} = x^{'} \sin x + x {(\sin x)}^{'}$
$= \sin x + x \cos x$
Answer: $\sin x + x \cos x$

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