WebAug 8, 2024 · What is the derivative of e−x? Calculus Basic Differentiation Rules Chain Rule 2 Answers maganbhai P. Aug 8, 2024 dy dx = −e−x Explanation: Here , y = e−x Let, y = eu and u = − x ∴ dy du = eu and du dx = − 1 Using Chain Rule: dy dx = dy du ⋅ du dx ∴ dy dx = eu ×( −1) = −eu Subst, back u = − x ∴ dy dx = −e−x Answer link Jim G. Aug 8, 2024 … WebCalculus Derivative Calculator Step 1: Enter the function you want to find the derivative of in the editor. The Derivative Calculator supports solving first, second...., fourth …
Differentiation of e to the Power x - Formula, Proof, Examples
WebDec 15, 2014 · if u = x then, du dx = 1. because of the power rule: d dx [xn] = n ⋅ xn−1. so, back to our problem, d dx [10x] = (ln10) ⋅ (10x) ⋅ (1) which simplifies to d dx [10x] = (ln10) ⋅ (10x) This would work the same if u was something more complicated than x. A lot of calculus deals with the ability to relate the given problem to one of the ... WebFeb 28, 2024 · Step 1, Begin with a general exponential function. Begin with a basic exponential function using a variable as the base. By calculating the derivative of the … ttip chapter investment
Power Rule - Calculus Socratic
WebThis is one of the favorite function to take the derivatives of. y' = ex. If you wish to find this derivative by the limit definition, then here is how we find it. First, we have to know the … WebMaybe a better way of explaining it is saying if you have some f (x) and find f' (x) is there some other way to get it to its derivative other than taking it's derivative. So let's say f (x) = 5x^2 so then f' (x)=10x. Now what can we do to 5x^2 without calculus to make it 10x? WebMar 27, 2015 · The derivative is then simpy 10e10x. Answer link Jim H Mar 27, 2015 It is 10 ⋅ ex ⋅ e2x ⋅ e3x ⋅ e4x f (x) = ex ⋅ e2x ⋅ e3x ⋅ e4x = ex+2x+3x+4x = e10x so f '(x) = 310x ⋅ 10 = 10e10x You could leave it that way, but a teacher who would ask such a question I would give the more cumbersome answer stated above. ttip investment