Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition + Mathxl 1-year License
5th Edition
ISBN: 9780133314533
Author: Prentice Hall
Publisher: Prentice Hall
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Differentiate the function.
R(a) = (6a + 1)²
R'(a) = 12
X
tan-1x
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x2
dx using integration by parts
What is the relationship between the complex differentiability and the existence of the derivative of an analytical function?
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- Vvvgarrow_forwardTutorial Exercise Let f(x) = e*g(x), where g(0) = 4 and g'(0) = 3. Find f'(0). Step 1 We are given the function f(x) = e*g(x). The first step is to find the derivative f'(x). Let h(x) = e*, and note that the function f(x) is the product of the differentiable functions h(x) and g(x). Recall the product rule in terms of two differentiable functions h(x) and g(x). d = h(x). dx + f"(x) = h(x) [g'(x»] + g¢x) [n'cx)] (*), u] (x)6- To apply this rule, we first find the derivative of h(x) = ex. h(x) = e* h'(x) We now apply the product rule. f'(x) + + g(x)arrow_forwardEight stion What is the first derivative of t(x) = arccsc(x4). Sorry, that's incorrect. Try again? t' (x) = ==== 7 4 1 0 8 5 6 9 2 3 ▲ Content attribution X Eight 8 ÷ X I + II x ^ % O y X DO V O π P ± H+ : 8 Ⓡ 1 LA $ A FEEDBACK VIEW ANSWER SUBMITarrow_forward
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