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Unformatted text preview: educed fraction, where f ( x) =
simplify the expression for f ′( x ) ). 4. (6pts) For x 3 + y 2 = 2 x 2 y + 2 dy
a. Find . dx
b. Find the slope of the curve at (−1, −1) . x2 + 5
. (You do not have to x3 − x 5. (6pts) Find the area under the graph of y = sin x over the interval [π 4, π ] . 1
6. (7pts) For f ( x ) = 2 , x
a. Use the limit definition to find f ′( x ) . b. Find the equation of the tangent line to f ( x ) at x = −2 . 7. (7pts) When a circular plate is heated in an oven, its radius increases at the rat...
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