August 19, 2024
Have you ever wondered how to take the derivative of an exponential function like \(2^x\) or \(4^{3x^2}\)? In this article, we will derive the formula for taking the derivative of any exponential function whatsoever. Derivation of the Formula In order to derive the formula for the derivative of an exponential function, we first need to […]
April 10, 2024
To find the derivative of \( x\sin x \) we will need to use the product rule. Furthermore, we will also need to recall the derivatives of $x$ and $\sin x$. Specifically, $$\dfrac d{dx} x = 1$$ and $$\dfrac d{dx}\sin x = \cos x$$ If you would like a refresher on how to find the […]
