Question

d/dx(4^x) is equal to what

Answer 1

Answer:

d/dx(4x) = 4 {d/dx(x)} = 4(1) = 4

Step-by-step explanation:

It is 4 . That means when we differentiate any number with variable then power of variable will decreased by 1 (here power of x is 1 so when it decreases by 1 it has x to the power 1–1=0)and power of variable will be multiplied by whole number (that means here power of x is 1 so 1×4=4). So the answer is 4.

Answer 2

Differentiation

Derivative of $f(x) =a^x$ for any positive $x.$ Then,

$\implies \dfrac{d}{dx} (a^x) = a^x \log_a$

Note: Sometimes f'(x) is denoted by $\dfrac{df(x)}{dx}$ or if $y = f(x)$ it is denoted by $\dfrac{dy}{dx}$. This is referred to as derivative of f(x) or y with respect to x. It is also denoted by $D (f (x))$. Further, derivative off at x = a is also denoted by $\dfrac{df(x)}{dx}$ or $\bigg( \dfrac{df}{dx}\bigg)_{x = 0}$ $\dfrac{d(kf(x))}{dx} = k\dfrac{df(x)}{dx}$ ($f(x)$ is a function and k is a constant).

Let's head to the question now:

$= \dfrac{d}{dx}({4}^{x}) \\ \\ = {4}^{x} \log_{4}$

Thus, this is the required answer.