Derivative of 3ln x
WebYou are trying to take the derivative of the function f (x)=3ln (x) As the definition of the derivative is f' (x)= lim_h->0 (f (x+h)-f (x))/h You already have the derivative in the statement you have written above. All you … WebQuestion: Find the derivative of the function. f(x) = 3 ln(x)/ x^8. Find the derivative of the function. f(x) = 3 ln(x)/ x^8. Show transcribed image text. Expert Answer. Who are the …
Derivative of 3ln x
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WebHere is the derivative of that: y = x^ln x let u = ln x thus, x = e^u thus, du = dx/x thus, y= x^ln x = (e^u)^u = e^ (u²) Let w = u² Thus, dw = 2u du e^ (u²)= e^w Taking the derivative: dy = e^w dw dy = e^ (u²) (2u) (du) dy = (x^ln x) (2 ln x) (dx/x) dy = (2 ln x) x^ [ln (x) - 1)]dx dy/dx = (2 ln x) x^ [ln (x) - 1)] ( 3 votes) peaceumoru Webderivative of 4x^3ln(x+x^3)の詳細な解答
WebCalculus. Find the Derivative - d/dx y=3 natural log of x. y = 3ln (x) y = 3 ln ( x) Since 3 3 is constant with respect to x x, the derivative of 3ln(x) 3 ln ( x) with respect to x x is 3 d dx … WebFind the derivative of the function f(x) = 1/x^ Solution: The derivative of 1/x^2 is -2/x^ Find the definite integral of the function f(x) = x^2 + 3x + 2 from x = 0 to x = 1 Solution: The definite integral of x^2 + 3x + 2 from x = 0 to x = 1 can be found using the antiderivative of x^2 + 3x + 2, which is x^3/3 + 3x^2/2 + 2x.
WebThe derivative of a function represents its a rate of change (or the slope at a point on the graph). What is the derivative of zero? The derivative of a constant is equal to zero, hence the derivative of zero is zero. What does the third derivative tell you? The third derivative is the rate at which the second derivative is changing. WebApr 10, 2024 · Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e. 1 Answer . Wataru
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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 … church orange juiceWebQuestion: Find the derivative of Write your answer as y=x^(3ln(x)) Find the derivative of Write your answer as y=x^(3ln(x)) Expert Answer. Who are the experts? Experts are tested by Chegg as specialists in their subject area. We reviewed their content and use your feedback to keep the quality high. dewey\u0027s death screamWebDec 1, 2024 · Using the chain rule, the derivative of ln^3x is 3ln^2 (x)/x Finally, just a note on syntax and notation: ln^3x is sometimes written in the forms below (with the … dewey\u0027s deathWebFind the Derivative - d/dx e^(3 natural log of x^2) Step 1. Differentiate using the chain rule, which states that is where and . Tap for more steps... To apply the Chain Rule, set as . Differentiate using the Exponential Rule which states that is where =. Replace all occurrences of with . dewey\\u0027s discount codeWebFind the derivative of the function f(x) = 1/x^ Solution: The derivative of 1/x^2 is -2/x^ Find the definite integral of the function f(x) = x^2 + 3x + 2 from x = 0 to x = 1 Solution: The … church orange county cachurch orange countyWebDec 15, 2024 · A Computer Science portal for geeks. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. dewey\\u0027s edmonton