can some help diffreratiated this thank you

HallsofIvy

MHF Helper
Typically, when you learn Calculus, almost the first thing you learn is that the derivative of $$\displaystyle x^n$$ with respect to x is $$\displaystyle nx^{n-1}$$. Nor long after you should have learned that the derivative of $$\displaystyle e^x$$ is $$\displaystyle e^x$$ and the "chain rule". For the first one, the derivative of $$\displaystyle aW- bW^2$$, with respect to W, is $$\displaystyle a(1W^0)+ b(2W^1)= a+ 2bW$$. For the second, the derivative of $$\displaystyle -exp(-\theta W)$$, with respect to W, is $$\displaystyle -exp(-\theta W)$$ times the derivative of $$\displaystyle -\theta W$$ which is $$\displaystyle -\theta (1W^0)= -\theta$$. Putting those together, the derivative of $$\displaystyle -exp(-\theta W)$$ is $$\displaystyle \theta exp(-\theta W)$$.

Last edited by a moderator: