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# Math+19A+-+Review+1+Answers+-+Fall+11 - 29 8(a dy dx = 5 x...

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Math 19A - Review 1 Answers - Fall 11 1.) c = - 4 2.)(a.) 8 (b.) - 14 11 (c.) 4 9 (d.) - 5 6 (e.) - 1 3 (f.) 1 (g.) - 1 2 (h.) 1 2 (i.) - 1 2 (j.) 2 (k.) 1 2 3.) Show the following using the deﬁnition of the derivative. (a.) f 0 ( x ) = 3 x 2 - 1 (b.) g 0 ( x ) = 2 ax + b (c.) h 0 ( x ) = x x 2 + 1 (d.) F 0 ( x ) = 7 (3 x + 1) 2 (e.) G 0 ( x ) = x + 3 (2 x + 3) 3 / 2 4.) (a.) f 0 ( x ) = 4 x ( x 2 + 1) 2 (b.) g 0 ( x ) = x sec 2 ( x ) - 5tan( x ) x 6 (c.) h 0 ( x ) = cos( x ) - 3 x sin( x ) 3 3 x 2 (d.) F 0 ( x ) = - x sin( x ) [cos( x ) + 1] 2 (e.) G 0 ( x ) = x 2 e x sec( x )[ x tan( x ) + x + 3] (f.) H 0 ( x ) = x 5 cos( x ) + x 4 sin( x ) + 2 x [1 - x 3 sin( x )] 2 5.)(a.) y = 9 x - 6 (b.) y = 3 2 x + 1 2 6.) ( - 1 3 , 32 27 ) and (1 , 0)

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Unformatted text preview: 29 8.)(a.) dy dx = 5 x 4 f ( x ) + x 5 f ( x ) (b.) dy dx = xf ( x )-3 f ( x ) x 4 (c.) dy dx = x 2 f ( x )-xf ( x )-2 x 3 9.) The set of points is { ( π 3 + kπ , √ 3 4 ) : k ∈ Z } ∪ { ( 2 π 3 + kπ ,-√ 3 4 ) : k ∈ Z } . 10.) (-1 ,-2) 11.) y =-x-1 and y = 11 x-25...
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Math+19A+-+Review+1+Answers+-+Fall+11 - 29 8(a dy dx = 5 x...

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