WebFind the Integral 3e^ (2x) 3e2x 3 e 2 x Since 3 3 is constant with respect to x x, move 3 3 out of the integral. 3∫ e2xdx 3 ∫ e 2 x d x Let u = 2x u = 2 x. Then du = 2dx d u = 2 d x, so 1 2du = dx 1 2 d u = d x. Rewrite using u u and d d u u. Tap for more steps... 3∫ eu 1 2du 3 ∫ e u 1 2 d u Combine eu e u and 1 2 1 2. 3∫ eu 2 du 3 ∫ e u 2 d u 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.

What is the derivative of f(t) = (t^3-e^(3t-1) , -t^2-e^t ) ? Socratic

WebWolfram Alpha is a great tool for calculating antiderivatives and definite integrals, double and triple integrals, and improper integrals. The Wolfram Alpha Integral Calculator also … 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 reading pa. hot tub

Derivative of 𝑒ˣ (video) Khan Academy

WebDec 30, 2015 · Explanation: x'(t) = 3t2 −3e3t−1. y'(t) = 2t + et +tet. The derivative of the parametric function is. dy dx = y'(t) x'(t) = 2t +et + tet 3t2 −3e3t−1. WebIn this section we expand our knowledge of derivative formulas to include derivatives of these and other trigonometric functions. We begin with the derivatives of the sine and … 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^ … how to summon a incubus