WebDec 9, 2024 · From above, we found that the first derivative of e^-6x = -6e^ (-6x). So to find the second derivative of e^-6x, we just need to differentiate -6e -6x We can use the chain rule to calculate the derivative of -6e -6x and get an answer of 36e -6x. The second derivative of e^-6x = 36e^ (-6x) The Derivative of csc (3x) December 9, 2024 WebThe Integral Calculator lets you calculate integrals and antiderivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step integration). All common integration techniques and even special functions are supported.
What is the derivative of f(x)=e^(-6x)+e ? Socratic
WebJul 9, 2016 · 1 Answer Alexander Jul 9, 2016 We can rewrite the expression y = 6 x as y = 6x−1 and apply the power rule for derivatives. In this case, y' = −6 x2. Explanation: The power rule for derivatives states that d dx [un] = n ⋅ un−1. Answer link WebMay 15, 2016 · How do you differentiate x6x? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Other Bases 1 Answer Konstantinos … towel bars and shower grab bar chrome
8.1: Basics of Differential Equations - Mathematics LibreTexts
WebOct 17, 2024 · Exercise 8.1.1. Verify that y = 2e3x − 2x − 2 is a solution to the differential equation y′ − 3y = 6x + 4. Hint. It is convenient to define characteristics of differential equations that make it easier to talk about them and categorize them. The most basic characteristic of a differential equation is its order. WebNov 29, 2024 · Derivative of e 6x by first principle. The derivative of a function by first principle refers to finding a general expression for the slope of a curve by using … WebJul 15, 2015 · Explanation: You first derive e9x and leave the sin as it is then you add the first part as it is and derive sin (to derive the arguments of the two functions you may use the Chai Rule): So, you get: y' = 6e9x ⋅ 9 ⋅ sin(6x) +6e9x cos(6x) ⋅ 6 = = 54e9xsin(6x) + 36e9x cos(6x) = = 9e9x[6sin(6x) +4cos(6x)] = 18e9x[3sin(6x) + 2cos(6x)] Answer link powdery white deposit on brass pipe