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. WebDerivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin Series Fourier Series Fourier Transform. ... derivative of e^{-14x} en. image/svg+xml. Related Symbolab blog posts. Practice Makes Perfect.
What is the antiderivative of e^(2x)? Socratic
WebOct 2, 2024 · Derivative of e -x by First Principle. By the first principle of derivatives, the derivative of f (x) is equal to. d d x ( f ( x)) = lim h → 0 f ( x + h) − f ( x) h. Let f (x)=e -x. [Let t=-h. Then t→0 as x →0] = -e -x ⋅ 1 as the limit of (e x -1)/x is 1 when x→0. ∴ The differentiation of e -x is -e -x and this is achieved from ... Web23 hours ago · The London Stock Exchange Group plans to begin clearing crypto derivatives, joining the battle among the world’s big exchanges to grab a slice of rising institutional demand to trade digital ... cynthia torfs aarschot
What is the derivative of e^(-x)? Socratic
WebAug 8, 2024 · 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 −e−x Explanation: differentiate using the chain rule given y = f (g(x)) then dy dx = f '(g(x)) × g'(x) ← chain rule 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 ... WebNov 9, 2024 · The Second Derivative of e^-x. To calculate the second derivative of a function, you just differentiate the first derivative. From above, we found that the first derivative of e^-x = -e^ (-x). So to find the second derivative of e^-x, we just need to differentiate -e -x. We can use the chain rule to calculate the derivative of -e -x and get … cynthia torfs advocaat