WebDerivatives of Exponential Functions & Logarithmic Differentiation Calculus lnx, e^2x, x^x, x^sinx The Organic Chemistry Tutor 1.3M views 6 years ago classic derivative of e^ … WebApproximate the derivative of f(x)-x3+4x2-10x+5=0 at x=3 using the forward, backward and central difference method and step size is 1. arrow_forward 4) Find the first derivative or …
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WebFeb 14, 2015 · 1 How to find the derivative of g ( x) = ( e − t + e t) 3 The answer in my math book is; 3 ( e − t + e t) 2 ( − e − t + e t) I've been stuck for days on these problems. By the answer I would assume there is a rule I am missing. I think I have all the rules for differentiation but none seem to apply. WebOct 9, 2024 · For the function. h (t) = t 1/3 - 3e t, h' (t) = (1/3)t -2/3 - 3e t, → h' (t) = (1/3)/ (t 2/3) - 3e t. *Note: For the first term I am using the power rule. For the second term, the derivative of e t is itself. Thank you for the question, and have a great day! Michael Ehlers. smart dc gwu
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WebMar 29, 2024 · Derivative is − 2t + et 3t2 − 3e3t−1 Explanation: The derivative of a function f (t) = (x(t),y(t)) is given by dy dt dx dt Here x(t) = t3 −e3t−1 and hence dx dt = 3t2 −e3t−1 ⋅ 3 = 3t2 −3e3t−1 and as y(t) = −t2 −et, dy dt = −2t −et Hence derivative is −2t − et 3t2 −3e3t−1 = − 2t + et 3t2 − 3e3t−1 Answer link WebDec 27, 2024 · Explanation: differentiate using the chain rule. given g(t) = f (h(t)) then. g'(t) = f '(h(t)) ×h'(t) ← chain rule. g(t) = e− 3 t2. ⇒ g'(t) = e− 3 t2 × d dt ( − 3 t2) d dt ( − 3 t2) = d … WebOct 4, 2015 · Mastery of Limits, Derivatives, and Integration Techniques See tutors like this The derivative of a function y=Ce nx where: C is a constant n=1 is the function itself. dy / dx = 3e x Upvote • 1 Downvote Add comment Report Still looking for help? Get the right answer, fast. Ask a question for free Get a free answer to a quick problem. hillermann nursery florist washington