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lbvjy [14]
3 years ago
12

Differentiate f(x)= square root of x times sin x

Mathematics
2 answers:
777dan777 [17]3 years ago
8 0
Here is the answer of the given mathematical problem above:
In order to differentiate f(x)= square root of x times sin x, you do this.
Use the product rule so that f′(x)=f(x)g′(x)+f′(x)g(x) when f(x)=x√ and<span>g(x)=sin(x)
</span>Next, solve for the derivative of sqrt(x) and sinx first and then plug into the equation for the product rule.
The result would be <span>the derivative of sqrt(x) is 1/2x^-1/2 and </span><span>derivative of sinx is cosx.</span>
zysi [14]3 years ago
3 0
Hello,

y= \sqrt{ x*sin(x) } \\&#10;&#10;y'= \dfrac{sin(x)+x*cos(x)}{2 \sqrt{x*sin(x)} }
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