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garner123
 2 years ago
Find the derivative of:
y = cos^2(x) + cos(x^2)
garner123
 2 years ago
Find the derivative of: y = cos^2(x) + cos(x^2)

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tomo
 2 years ago
Best ResponseYou've already chosen the best response.1y = (cos(x))^2 + cos(x^2) //power rule for the cos(x). also you have to take the derivative of the inside of the cos(x) y' = 2*(cos(x))*(sin(x)) + d/dx(cos(x^2)) // now take the derivative of the second part of the sum. no power rule. just take derivative of the cos() and then the derivative of the inside. y' = 2*(cos(x))*(sin(x)) + (sin(x^2))*(2x) // so you can factor a 2 if you want.

garner123
 2 years ago
Best ResponseYou've already chosen the best response.0Why would you have the first sin(x)?

garner123
 2 years ago
Best ResponseYou've already chosen the best response.0Shouldn't it just be 1? I'm lost.

tomo
 2 years ago
Best ResponseYou've already chosen the best response.1you have to take the derivative of the cos(x) which is sin(x)

garner123
 2 years ago
Best ResponseYou've already chosen the best response.0Oh right... duh. Thank you so much!
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