Webthe derivative of f (g (x)) = f’ (g (x))g’ (x) The individual derivatives are: f' (g) = −1/ (g 2) g' (x) = −sin (x) So: (1/cos (x))’ = −1 g (x)2 (−sin (x)) = sin (x) cos2(x) Note: sin (x) cos2(x) is also tan (x) cos (x) or many other forms. Example: What is d dx (5x−2) 3 ? The Chain Rule says: the derivative of f (g (x)) = f’ (g (x))g’ (x)

[Solved] Find the derivative of the functions in P SolutionInn

WebAug 11, 2015 · What is the derivative of e5x? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Gió Aug 11, 2015 I found: 5e5x Explanation: You can use the Chain Rule to deal with e and then 5x as: y' = e5x ⋅ … WebDerivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin … how far is chambersburg pa from washington dc

Derivative Rules - Math is Fun

WebUse the keypad icon for writing the arithmetic and other symbols like √, +, -, e, etc. Write the number of derivatives e.g, 1 for the first derivative or 2 for the second derivative. Click the calculate button below the input box to get the results. Press the reset button to enter another function. WebYou apply the chain rule, first saying e^ (-5x) = e^u*, where u = -5x and du/dx = -5. Differentiating, you get du/dx e^u, which equals -5e^ (-5x). ( 4 votes) softball.summers3 … 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 … hige bottle with stopper homebrew