WebFind the Derivative - d/dx: 3x^2: 33: Evaluate the Integral: integral of xe^(2x) with respect to x: 34: Find the Derivative - d/dx: 2e^x: 35: Find the Derivative - d/dx: natural log of 2x: 36: Find the Derivative - d/dx-sin(x) 37: Find the Derivative - d/dx: 4x^2-x+5: 38: Find the Derivative - d/dx: y=16 fourth root of 4x^4+4: 39: Find the ... 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 ...
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WebMar 8, 2024 · 2 So using chain rule for the first derivative: $$f' = 2x\cdot e^ {x^2}$$ then using product rule for the $$f'' = 2x (2xe^ {x^2}) + e^ {x^2}\cdot 2$$ Is there an easy way to get the third? Does the second deriative simplify to: $$4x^2e^ {x^2} + 2e^ {x^2} = (4x^2 + 2) (e^ {x^2})$$ Can I then take chain rule again to get $f^ { (3)}$? derivatives WebOct 20, 2014 · You write the base, chain along the immediate derivative of the exponent, and then since there was something to chain along further we did it again with the 4 x + … opener for incubus
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WebSep 25, 2024 · The Second Derivative of e^4x. To calculate the second derivative of a function, you just differentiate the first derivative. From above, we found that the first derivative of e^4x = 4e^(4x). So to find the … WebJan 4, 2024 · The outer function is e (x) and the inner function is 4x. The derivative of e (x) is e (x). The derivative of 4x is 4. We find the derivative of e 4x using two steps: Step 1: … 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 … opener blackfly cockpit images