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Derivatives by different methods Calculate the derivative of the following functions (i) using the fact that bx = ex ln b and (ii) using logarithmic
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Calculus: Early Transcendentals (3rd Edition)
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University Calculus: Early Transcendentals (3rd Edition)
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- Find the derivativearrow_forwardFind the derivative of the function given below by first taking the logarithms of each side of the equation. Explain why the power rule for derivatives, also given below, cannot be used to find the derivative of the given function. y = x* du" du = nun-1 dx power rule for derivatives dxarrow_forwardUse Logarithmic Differentiation (as shown in lecture) to find the derivative of y = (4 + sin x)√T You do not need to simplify your answer, but your final answer should be in terms of x only.arrow_forward
- Find the derivative of y = cos-(8x°). (Use symbolic notation and fractions where needed.) y = | help (fractions) %3|arrow_forwardcos(2x)81-x Given f(x) = (*+1) Use logarithmic differentiation to find the derivative of the function above. Be sure and solve explicitly for f'(x), but you don't need to try and simplify any further. Remember chain rule. Find the equation of the tangent line at x = 0. Call this equation y. Use a program that will plot this function and the tangent line. Print this and submit with your project. (I suggest Desmos.arrow_forwardFind the derivativearrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning