(8720) > Assignments > 17. Derivatives of Natural Log Functions17. Derivatives of Natural Log FunctionsUse properties of logarithms to find the derivative of a natural logarithmic functionQuestionDetermine p' (x) if p(x) = In ( ***x35x2+x+6Select the correct answer below:O p'(x) =10x+15x-+x+6O p'(x) =10x+1Sx2+x+610x+1Sx+x+6p' (x) =Sx²+x+6=p'(x)10x+1MacBook Pro3/K+. 16. Derivatives of Exponential FunctionsFind the derivative of an exponential function with baseeQuestionDetermine p' (x) if p(x) = 7e-4x.Select the correct answer below:O p (x) = -28e-4x-1O p'(x) = 7e 4xOp'(x) = -28e4xp'(x) = -e-4xMORE INSTRUCEFEEDBACKOC8MacBook Pro

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 64E

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Find the derivative of the function.5. y = log (9x - 7)6. y = log |6 - x| Use logarithmic differentiation to find the derivative of y.7. y = (x^3+ 1)^3 (x - 1)^5 x^3 Find the derivative of y with respect to x.8. y = cos^-1 (11x^2 + 4)9. y = sin^-1 (e^3t)
THEOREM 3.7 Derivative of the Natural Exponential Function \frac{d}{d x}\left[e^{x}\right]=e^{x}
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