Weba. e x^2 e 4x-4 =e. b. e 2x-2 =3. c. ln(4x + 3) = 2. 2. Differentiate: a. f(x) = 2e 5x + 1. b. f(x)= xe x + 2e x^3. c. f(x) = (e 2x+2) / 2x+e 2x. d. f(x) = ln(x 2 + 1) + e cos 2x. 3. Integrate: a. e-x +3e x/2 dx. b. from ln2 to ln 3 e 3x dx. c. e 2x (e 2x +3) 5 dx. d. (e 2x) / (1+e 2x) dx. Best Answer. This is the best answer based on feedback ... WebAug 24, 2015 · Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Other Bases 1 Answer Jim H Aug 24, 2015 d dx (4x) = 4xln4 Explanation: In general for b > 0, we have d dx (bx) = bxlnb And when we need the chain rule, we have d dx (bu) = bu(lnb) d dx (u) Proof of General rule bx = (elnb)x (remember that elnu = u) So
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WebDerivative 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 … WebJul 22, 2016 · Explanation: y = 2e4x2. We need to use the chain rule as we have y(u(x)). dy dx = dy du du dx. u = 4x2 ⇒ du dx = 8x. dy du = d du (2eu) = 2eu = 2e4x2. Hence. cynthia busby
Integral Calculator: Integrate with Wolfram Alpha
WebSince is constant with respect to , the derivative of with respect to is . Step 2. Differentiate using the chain rule, which states that is where and . Tap for more steps... Step 2.1. To … WebNov 29, 2024 · According to the first principle of derivative, the e^4x derivative is equal to 4e^4x. The derivative of a function by first principle refers to finding a general expression for the slope of a curve by using algebra. ... = 2e 4x + 2e 4x. Hence, we have verified the differentiation of e^4x. f(x) = 4e 4x. Derivative of e 4x using quotient rule ... Webkubleeka. 3 years ago. The solution to a differential equation will be a function, not just a number. You're looking for a function, y (x), whose derivative is -x/y at every x in the domain, not just at some particular x. The derivative of y=√ (10x) is 5/√ (10x)=5/y, which is not the same function as -x/y, so √ (10x) is not a solution to ... cynthia butler james facebook clinton nc