Q: For the function f whose graph is shown, arrange the following
For the function f whose graph is shown, arrange the following numbers in increasing order:
See AnswerQ: (a). Use the definition of a derivative to find f'
(a). Use the definition of a derivative to find f'(2), where f (x) = x3 - 2x. (b). Find an equation of the tangent line to the curve y = x3 – 2x at the point (2, 4). (c). Illustrate part (b) by graphi...
See AnswerQ: (a). If f (x) = ex, estimate
(a). If f (x) = ex, estimate the value of f'(1) graphically and numerically. (b). Find an approximate equation of the tangent line to the curve y = e-x2 at the point where x = 1. (c). Illustrate part...
See AnswerQ: Find a function f and a number a such that limh
Find a function f and a number a such that limh→0 (2+h)6 – 64/h = f'(a)
See AnswerQ: Trace or copy the graph of the function. Then sketch a
Trace or copy the graph of the function. Then sketch a graph of its derivative directly beneath.
See AnswerQ: Trace or copy the graph of the function. Then sketch a
Trace or copy the graph of the function. Then sketch a graph of its derivative directly beneath.
See AnswerQ: (a). In Section 2.8 we defined an antiderivative
(a). In Section 2.8 we defined an antiderivative of f to be a function F such that F' = f. Try to guess a formula for an antiderivative of f (x) = x2. Then check your answer by differentiating it. How...
See AnswerQ: Trace or copy the graph of the function. Then sketch a
Trace or copy the graph of the function. Then sketch a graph of its derivative directly beneath.
See AnswerQ: (a). If f (x) = √3 –
(a). If f (x) = √3 – 5x, use the definition of a derivative to find f'(x). (b). Find the domains of f and f'. (c). Graph f and f' on a common screen. Compare the graphs to see whether your answer to p...
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