WebFind the Derivative - d/dx y=3e^(x^2) Step 1. Since is constant with respect to , the derivative of with respect to is . Step 2. Differentiate using the chain rule, which states that is where and . Tap for more steps... Step 2.1. To apply the Chain Rule, set as . Step 2.2. WebNov 9, 2024 · The derivative of e^-3x is -3e^-3x How to calculate the derivative of e^-3x The chain rule is useful for finding the derivative of a function which could have been differentiated had it been in x, but it is in …
How do you find the derivative of x^3e^x? Socratic
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. Related Symbolab blog posts. My Notebook, the Symbolab way. WebOct 17, 2024 · Exercise 8.1.1. Verify that y = 2e3x − 2x − 2 is a solution to the differential equation y′ − 3y = 6x + 4. Hint. It is convenient to define characteristics of differential equations that make it easier to talk about … csusm chad
calculus - Find the $n^ {th}$ derivative of $y=e^ {ax}.x^3 ...
WebOct 6, 2024 · Answer: The derivative of e to the power -3x is -3e -3x. Proof: Let us use the logarithmic differentiation to find the derivative of e -3x. We put. y = e -3x. Taking logarithms with base e, we obtain that. log e y = log e e -3x. ⇒ log e y = … WebDec 2, 2014 · I am trying to find the derivative of this problem but I am not sure where to start. Any help is appreciated. Find the derivative of $$y = \\sqrt{xe^{2x} + 3e^{-x^2}}$$ WebApr 11, 2024 · We then took the derivatives again to obtain the second-derivative spectra, smoothed the results again, and calculated I 425 and I 535, ... (Figure 3e) because the second-derivative method requires smoothing (Scheinost et al., 1998; Torrent & Barrón, 2003). Our results indicate that the Gt/Hm estimates are sensitive to the smoothing … early years indeed jobs