Differentiating logarithms and exponentials homework

Hey,
I am trying to do some differentiating questions but I always get stuck in the last step !! Could someone plz help me.

Questions:
3) f(x)= (1+x^2)e^3x find f'(x) I used the chain and the product rule.

4) y=e^x^2lnx, find dy/fix same methods as before

Thank you

Hey,
I am trying to do some differentiating questions but I always get stuck in the last step !! Could someone plz help me.

Questions:
3) f(x)= (1+x^2)e^3x find f'(x) I used the chain and the product rule.

4) y=e^x^2lnx, find dy/fix same methods as before

Thank you

For 1) take a common factor out and tidy it up (simplify).

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For 2) are you sure it's $e^{2x}$? Shouldn't it be

If so, same as above, common factor out and tidy up.

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Hmm tha common factor is e^3x right?
So the answer should be e^3x [ 2x +3 (1+x^2) is that right?

Yeah sure it's the differentiating of e^x^2

Yeah, that's right! Don't forgwt the close bracket though ']'

Thank u I got it now 😁


Yeah, so you should have the differentiated original function × the differentiated other function so e^x^2 stays the same.