Use the product rule to find the derivative....

Question

anonymous · Answer

$$(x+1)(\sqrt{x} +2)$$
how would I deal with the radical in this case? $$x^{1/2}$$ ???

anonymous · Answer

Yes

sheraz12345 · Answer

Multiply x with underrroot x which will give x^3/2

zepdrix · Answer

No don't multiply.
That defeats the purpose of applying the product rule.

anonymous · Answer

Product Rule:

$$U \times V'+ U' \times V$$

anonymous · Answer

product rule is..
$$(ab)\prime=a \prime b+ab \prime$$
then here..
{(x+1)(√x+2)}'=1(√x+2)+(x+1)*1/2x^-1/2

anonymous · Answer

More formally.
$$f(x) \times g'(x)+f '(x) \times g(x)$$

anonymous · Answer

You can treat the 1/2 like any other exponent.
So if you are taking the derivative of that.
$$nX^{n-1}$$ Where in your case n would be 1/2

anonymous · Answer

You would first multiply the original first expression by the derivative of the second expression then add the derivative of the first expression multiplied by the original second.