Unformatted text preview: 1 7+ x . a) Write down the speciﬁc limit which is the deﬁnition of f ( a ). b) Use the deﬁnition of derivative that you gave in part (a) to ﬁnd f ( a ). 6. (8 points.) Refer to Figure 6. Arrange the following quantities in numerical order (from negative to positive): , f ( a ) , f ( b ) , f ( c ) . 7. (10 points.) Refer to Figure 7. Depicted in Figure 7 is the graph of a function. Sketch as best you can the graph of its derivative, assuming that the derivative is continuous on the open intervals where it is deﬁned. 8. (24 points.) Find the derivatives for the following functions of x . Do not simplify: a) f ( x ) = 1 x 2 + x 3 e 4 x b) g ( x ) = sin(3 x )+ x 3 cos(5 x )+tan(2 x ) c) h ( x ) = ( x 2 + e 3 x + 2) 20 ....
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 Spring '11
 salch
 Derivative, Rate Of Change, Continuous function

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