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1. Find the derivative of the function. F(x) = (x^4 + 9x^2 – 6)^8

2. Find the derivative of the function. F(t) = (3 + tan t)^1/8

3. Find the derivative of the function. y = cos(a^3 + x^3)

4. Find the derivative of the function. y = 5 cot ntheta

5. Find the derivative of the function. F(x) = (2x – 5)^4(x^2 + x + 1)^5

6. Find the derivative of the function. y = ((x^2 + 5)/(x^2 – 5))^4

7. Find the derivative of the function. y = sin(tan 4x)

8. Find the derivative of the function. y = x sin( 3/x)

9. Find the derivative of the function. y= cot^2(cos theta)

10. Find the derivative of the function. y = [x + (x + sin^2 x)^6]^7

11. Find an equation of the tangent line to the curve at the given point. Y = sin(sin x), (2pi, 0)

12. Find all points on the graph of the function f(x) = 2 cos x + cos^2 x at which the tangent line is horizontal. (use n as your arbitrary number)