WebWe need to find the first derivative f' (x) using the chain rule. We will assume that u= 3x ==> u' = 3 ==> f (x) = e^u ==> Now we will differentiate: ==> f (x) = (e^u)' = u' * e^u du ==> Now we... WebNov 25, 2016 · To find the first derivative of the function, f '(x), first take the derivative of x4 and multiply this by ex, which we have left unchanged. This gives: 4x3 ⋅ ex Now, take the derivative of ex (which is still ex by properties of exponential functions) and multiply this by x4, which we have left unchanged. This gives: ex ⋅ x4
Solved Find the derivative. y = 4e^x^2 A) 8xe^x^2 B) Chegg.com
WebJan 7, 2024 · Explanation: Use the exponent law xa xn = xa−n to write as a single exponent. y = e5x4− (4x2+3) y = e5x4−4x2−3 Differentiate this using the chain rule. Let … WebJul 8, 2015 · Modified 7 years, 8 months ago. Viewed 519 times. 1. y = e − 4 x sin 5 x. My answer is: y ′ = e − 4 x ( cos 5 x) ( 5) + ( sin 5 x) e − 4 x =. e − 4 x ( ( cos 5 x) ( 5) + ( sin … hotel batuda split
Derivatives of Logarithmic Functions Brilliant Math & Science …
WebQuestion: Find the derivative. y = 4e^x^2 A) 8xe^x^2 B) 8xe^2x C) 8xe D) 8xe^4x^2 y = 3^x^2 A) 3^x^2 2x ln x B) 3x^2 x ln 3 C) 3^x^2 2x ln 3 D) 2x ln 3 Find the derivative of the function. WebDerivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin Series Fourier Series Fourier Transform. Functions. Line Equations Functions Arithmetic & Comp. Conic Sections Transformation. WebSince the derivative of a constant is 0, indefinite integrals are defined only up to an arbitrary constant. For example, , since the derivative of is . The definite integral of from to , … fedex or amazon