Ask
your own question, for FREE!
Mathematics
86 Online
If I needed to 'prove' using calculus that if: f(x) = A sin^2(BX+C) + A cos^2(BX+C) Then: f'(x) = 0 How would I go about that? Teacher said 'not' to use the rule: sin^2θ + cos^2θ = 1 Thanks a heap! This site is great for those tricky Math-C concepts!
Still Need Help?
Join the QuestionCove community and study together with friends!
If A, B, and C are constants, you just have to differentiate them term by term and make proper use of the chain rules. When I did it, it just canceled out (the cosine in the 2nd term flips the sign).
Here ya go! \[f(x) = Asin ^{2}(Bx+C)+Acos ^{2}(Bx+C)\] \[f'(x) = 2Asin(Bx+C)*\cos(Bx+C)*B+2Acos(Bx+c)*(-\sin(Bx+C))*B\] \[= 2ABsin(Bx+C)\cos(Bx+C) - 2ABcos(Bx+C)\sin(Bx+C)\] (by commutative property) \[=0\]
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
NicktheBlade16:
ALGEBRA: Which system of equations is represented by the graph? one parabola open
iluvdogs:
A 230 kg steel crate is being pushed along a cement floor. The force of friction is 480 N to the left and the applied force is 1860 N to the right.
Arieonna:
i got a book of all green paper from christmas but i Don't know what to do with i
27 seconds ago
14 Replies
4 Medals
1 hour ago
1 Reply
1 Medal
55 minutes ago
10 Replies
2 Medals