Unformatted text preview: Practice for Exam 2 1. Use the deﬁnition of the derivative to ﬁnd the derivative of f (x) at the indicated point:
a) f(x)=x2—x at x=3. b)f(x)=J§ atx=16. 2. Find the equation for the tangent line to the graph of y = f (x) :
a) f(x) zéxz 3x+2 when x = 2. b) f(x) = e21H when x =1. 0) f (x) = tan(4x) when x = T715 3. Find the derivative:
a) y = e" sin x d) f(X) = (1n 303 4. Show that the tangent line to the curve y = x2 at the point (1,1) passes through the point (0,—1). . ez"—1
5. 11m 3—)0 5X (1 2K 6. Let f(x) =J5+x2, x 2 0. Find f“ (3) , note that f(2) = 3. ...
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 Spring '06
 Migliore
 Calculus

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