I'm doing a problem set for my calculus class and although I know this is a simple problem I forgot how to approach powers. It goes like this:
If y= (3x^4+5)^3, then dy/dx=
A) 3 (12x^3)^2
B) 36(3x^4 +5)^2
C) 36x^3(3x^4+5)^2
D)3x^3(3x^4+5)^2
E) 36x(3x^4+5)^2
So I know that I have to simplify the equation by multiplying what is inside the parenthesis to the power of 3, but I don't think I am doing it correctly. And I know once I figure that out I can take the second derivative from the first, that much I remember how to do.
So far for my simplifying I have gotten
3x^7+5^4
9x^7+5^4
both of which I know are wrong : ( I'm really frustrated with this step and even more frustrated knowing the next steps will be just as challenging. Any help would be appreciated. Thank you in advance : )
If y= (3x^4+5)^3, then dy/dx=
A) 3 (12x^3)^2
B) 36(3x^4 +5)^2
C) 36x^3(3x^4+5)^2
D)3x^3(3x^4+5)^2
E) 36x(3x^4+5)^2
So I know that I have to simplify the equation by multiplying what is inside the parenthesis to the power of 3, but I don't think I am doing it correctly. And I know once I figure that out I can take the second derivative from the first, that much I remember how to do.
So far for my simplifying I have gotten
3x^7+5^4
9x^7+5^4
both of which I know are wrong : ( I'm really frustrated with this step and even more frustrated knowing the next steps will be just as challenging. Any help would be appreciated. Thank you in advance : )