WebOct 11, 2015 · ex(cosx +sinx) Explanation: Since this is a product of 2 functions we may apply the product rule which states that the derivative of a product of 2 functions is the first function times the derivative of the second, plus the second function times the derivative of the first. ∴ d dx exsinx = excosx +exsinx Answer link WebIf x 2 + y 2 + sin y = 4, then the value of `(d^2y)/(dx^2)` at the point (–2, 0) is – 34.. Explanation: Given, x 2 + y 2 + sin y = 4. After differentiating the ...
Calculus problems with answers - Find the derivative of the
WebThe derivative of e 2x with respect to x is 2e 2x.We write this mathematically as d/dx (e 2x) = 2e 2x (or) (e 2x)' = 2e 2x.Here, f(x) = e 2x is an exponential function as the base is 'e' is a constant (which is known as Euler's number and its value is approximately 2.718) and the limit formula of 'e' is lim ₙ→∞ (1 + (1/n)) n.We can do the differentiation of e 2x in … WebThe derivative of sin x with respect to x is cos x. It is represented as d/dx(sin x) = cos x (or) (sin x)' = cos x. i.e., the derivative of sine function of a variable with respect to the same … how to send automated messages
Derivative of e^sin x e^sinx Derivative - Mathstoon
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 derivatives, as well as implicit differentiation and finding the zeros/roots. You can also get a better visual and understanding of the function by using our graphing ... Web10 years ago. That's because of the chain rule. In simple terms, when deriving e^A, you will get A'e^A, A' being the derivative of A. Since in the case of e^x, the derivative of x is 1, you simply get e^x. If it was e^2x however, then you would get 2e^2x, due to the derivative of 2x being 2. 1 comment. ( 84 votes) WebFind the Second Derivative f (x)=e^x*sin (x) Mathway Calculus Examples Popular Problems Calculus Find the Second Derivative f (x)=e^x*sin (x) f (x) = ex ⋅ sin(x) f ( x) = e … how to send availability in email outlook