WebAug 8, 2024 · 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. WebAug 18, 2016 · So we've already seen that the derivative with respect to x of e to the x is equal to e to x, which is a pretty amazing thing. One of the many things that makes e somewhat special. Though when you have an exponential with your base right over here as e, …

What is the derivative of x^e? Socratic

WebJun 25, 2015 · Note that if we define $$ f(x)=\sum_{k=0}^\infty\frac{x^k}{k!}\tag{1} $$ we get $$ \begin{align} f(x)f(y) &=\sum_{k=0}^\infty\frac{x^k}{k!}\sum_{j=0}^\infty\frac{y^j ... WebThe derivative with respect to x if f (x) = e - 14x is f' (x) = – 14 e - 14x). This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you … share pc game clips

LTL Modulo Theories: Alternation Elimination via Symbolic …

WebMar 26, 2015 · It is 1 2 e2x. You can certainly use the technique of integration by substitution (reversing the chain rule) to find this, you can also reason as follows: The … WebWhat's the derivative of a constant going to be? Well, we covered that at the beginning of this video. The derivative of any constant is just going to be 0, so plus 0. And so now we are ready to simplify. The derivative of f is going to be 2 times 3x squared is just 6x squared. Negative 7 times 2x is negative 14x plus 3. Calculus Find the Derivative - d/dx e^ (-14x) e−14x e - 14 x Differentiate using the chain rule, which states that d dx [f (g(x))] d d x [ f ( g ( x))] is f '(g(x))g'(x) f ′ ( g ( x)) g ′ ( x) where f (x) = ex f ( x) = e x and g(x) = −14x g ( x) = - 14 x. Tap for more steps... e−14x d dx [−14x] e - 14 x d d x [ - 14 x] Differentiate. poor stronger connotation