Webkubleeka. 3 years ago. The solution to a differential equation will be a function, not just a number. You're looking for a function, y (x), whose derivative is -x/y at every x in the domain, not just at some particular x. The derivative of y=√ (10x) is 5/√ (10x)=5/y, which is not the same function as -x/y, so √ (10x) is not a solution to ... 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
calculus - How to find the derivative of $(e^{-t} +e^t)^3 ...
WebFeb 14, 2015 · 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 … WebJan 2, 2016 · Let (3e−12t) = y and −12t = z, then the derivative is: dy dt = dy dt ⋅ dz dz = dy dz ⋅ dz dt Which means you differentiate e−12t as if it were ex (unchanged), then you differentiate z which is −12t and finally you multiply them. Answer link rears omf756
derivative of 3e^t
WebSince 3 3 is constant with respect to x x, the derivative of 3e3x 3 e 3 x with respect to x x is 3 d dx[e3x] 3 d d x [ e 3 x]. 3 d dx [e3x] 3 d d x [ e 3 x] Differentiate using the chain rule, which states that d dx [f (g(x))] d d x [ f ( g ( x))] is f '(g(x))g'(x) f ′ ( g ( x)) g ′ ( x) where f (x) = ex f ( x) = e x and g(x) = 3x g ( x) = 3 x. WebDerivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin Series Fourier Series Fourier Transform. ... derivative of 3e^{t} en. image/svg+xml. … 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. rears orchard sprayers