SOLUTION: 1. What is the derivative of f(x) = cos (x^4)? 2. Use implicit differentiation to find y’ of x^2 + y^2 = 8 at (2,2) and at (-2,2) (it may be helpful to look at the graph)

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: 1. What is the derivative of f(x) = cos (x^4)? 2. Use implicit differentiation to find y’ of x^2 + y^2 = 8 at (2,2) and at (-2,2) (it may be helpful to look at the graph)       Log On


   

Question 979853: 1. What is the derivative of f(x) = cos (x^4)?
2. Use implicit differentiation to find y’ of x^2 + y^2 = 8 at (2,2) and at (-2,2) (it may be helpful to look at the graph)
3. 2. What is the derivative of g(x) = (cos x)^4?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1. What is the derivative of f(x) = cos (x^4)?
f'(x) = -sin(x^4)*4x^3
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2. Use implicit differentiation to find y’ of x^2 + y^2 = 8 at (2,2) and at (-2,2) (it may be helpful to look at the graph)
It's a circle.
y' = -x/y at all points on a circle about the Origin.
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3. 2. What is the derivative of g(x) = (cos x)^4?
g(x) = cos^4(x)
g'(x) = 4cos^3(x)*(-sin(x))