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calculus 1 question:?
Find the derivative of the function.
y = sin(a7 + x7)
thank-you!
this is what i got using chain rule:
y' = cos (a^7 + x^7) * (7a^6 + 7x^6)
what am i doing wrong? any help is appreciated
2 Answers
- Andy JLv 71 decade agoFavorite Answer
I assume you are taking the derivative with respect to x. If so, then a^7 is considered a constant and its derivative is 0. Thus, you should get:
y' = cos(a^7 + x^7) * 7x^6
- Anonymous1 decade ago
If a is some function of x that would make things somewhat difficult, but since you gave no such definition I am assuming that a is a constant.
The general rule to apply here is that:
d(sin(f(x))/dx = f '(x) * cos(f(x))
Since f(x) = x^7 + a constant, the derivative f '(x) = 7x^6 + 0 = 7x^6
Therefore:
dy/dx = 7x^6 * cos(a^7 + x^7)
