You can use this website to check your answers.
Be sure to click the show steps button.
You can use this website to check your answers.
Be sure to click the show steps button.
Yeah that was a total typo on my part. You can even see in the formula I typed there was no integral, I don't know why I put it there. My tired-ness is catching up with me. But apart from that integral typo, it seems to be correct according to Plato's link.
And Plato, I typed in the second problem into that website and it said:
This is what I typed into the search box:
derivative of (x^3+1) ^tan x
You can just input the equation directly and wolfram will pull up the integral, limit, derivative, etc of the function without you having to say a word!
Also, you could do this,
Let
Now we can implicitly differentiate the left side and apply the product rule to the right side. Should clear everything up.
is true only for b a constant.
(Note the , not u(x). What you wrote:
" is not true even for b a constant.)
To differentiate use the fact that as Allencuz suggested.
There are two common errors made in differentiating something like :
1) Treat the base as a constant: .
2) Treat the exponent as a constant: .
The interesting thing is that the correct derivative is the sum of those errors!
I don't understand what you did when you played ln on both sides [what property did you use?]. I did, however do as you said and applied the product rule to the right side.
So what you are saying is that x^(3)+1 cannot be treated like, say, pi would for example. So if I had something like pi instead of x^(3)+1, the rule I used earlier would apply?