im studying for this test i have to take on monday called the mastery test. its all derivatives and im studying this practice sheet my teacher posted online but i think i found an error on one. can someone check it please.
y=x^sin(x)
find y'
y'=(ln(x))(x^sin(x))(cos(x))
this is what i got ^^^^
but on the answer sheet of the practice sheet it says that the answer is:
[cosx(lnx) + sinx(1/x)] (x^sinx)
which one is correct?
thank you
It's not exactly a theorem, but when you have the derivative is obtained using the same procedure Mush used.
It's best not to remember some formula when tackling these types of derivatives but to remember the procedure of taking the natural log of both sides, differentiating both sides (using the product rule or chain rule if necessary) and then rearranging to find