SOLUTION: A function is given: F(x) = (1+sinpix)^h(x). If h(1) = 2 and dh(1)/dx = -1, what is dF(1)/dx.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: A function is given: F(x) = (1+sinpix)^h(x). If h(1) = 2 and dh(1)/dx = -1, what is dF(1)/dx.       Log On


   

Question 1027412: A function is given: F(x) = (1+sinpix)^h(x). If h(1) = 2 and dh(1)/dx = -1, what is dF(1)/dx.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
F%28x%29+=+%281%2Bsin%28pi%2Ax%29%29%5Eh%28x%29==> lnF%28x%29+=+h%28x%29ln%281%2Bsin%28pi%2Ax%29%29
After differentiating this gives

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But F%281%29+=+%281+%2B+sin%28pi%29%29%5Eh%281%29+=+1%5E2+=+1
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