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# Ch3-3WS - Think ahead(the nth derivative f(n(x is the...

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Mrs. Waldron BC Calculus 604 Ch 3.3 Rules of Differentiation 1. Given 3 2 t dM dM M = at - c t + , find a) and b) a dt dA 2. Find an equation for the tangent line to 2 x + 3 f(x) = 2x at x = 2, and also for the line perpendicular to the graph at x = 2. #3-4: Find f '(x) 3. 2 f (x) = (x - 1)(x + 21) 4. 2 4 f (x) = (4x + 1)(2x - 2)

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5. Find an equation for the line tangent to the curve 2 x - 1 y = 3x at the point (1,0). Support your answer graphically. 6. The volume V of a sphere of radius r is 3 4 r 3 π . Notice that dV = A dr . Explain in terms of geometry why the instantaneous rate of change of the volume with respect to the radius should equal the surface area. 7. Find the eighth derivative of 7 5 3 f (x) = x + 5x - 4x + 6x - 7

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Unformatted text preview: . Think ahead! (the nth derivative, f (n) (x), is the result of differentiating f(x) n times). Find the seventh derivative of f(x). 8. Find f '(x) if 2 2 x - 1 f (x) = x + 1 9. Find f '(x) if 2x f (x) = x + 3 10. Find 2 a- R dC dC b and if C = dR dT nT #11-12 Find f '(x) 11. ( ) 1 2 f (x) = (1 - x) 1 + x-12. (x + 1) (x + 2) f (x) = (x - 1) (x - 2) 13. Suppose that u and v are differentiable functions of x at x = 2 and u(2) = 3, u '(2) = -4, v(2) = 1 and v '(2) = 2. Find the following derivatives: a) d v dx u b) ( ) d 3u - 2v + 2uv dx 14. Find the tangent to the Witch of Agnesi , 2 8 y = 4 + x at the point (2,1)....
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Ch3-3WS - Think ahead(the nth derivative f(n(x is the...

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