How do you differentiate #(sqrt x)(x^2+3sinx)#?
2 Answers
Using differentiate product rule
See explanation below
Explanation:
We know that in functions product, de derivative is (derivative of a product)
Thus we have (if
If we apply prior formula we have
Explanation:
Product rule is
Obviously we already have f(x) and g(x) so we just need to find the derivatives of both
f'(x)=
g'(x)=
To derive the 3sin(x) you would have to use product rule again where f(x)=3 and g(x)=sin(x), but remember the derivative of a plain number is zero, so all that's left of product rule is #f(x)*g'(x), which is just 3cos(x),remember the derivative of sin is cos.
Now just plug all the parts yo have into product rule to get: