Differentiate the function. f x sin x ln 4x
WebMar 1, 2015 · Massimiliano. Mar 1, 2015. The answer is: y' = = arctan2x. Using the product rule and the chain rule: y' = 1 ⋅ arctan2x + x ⋅ 1 1 + (2x)2 ⋅ 2 − 1 4 ⋅ 1 1 + 4x2 ⋅ 8x =. = arctan2x + 2x 1 + 4x2 − 2x 1 + 4x2 = arctan2x. I suppose that this is a joke. Someone calculate the integral of y = arctan2x, and than asked its derivative! Webf(x) times g(x) is not the same thing as f of g of x. A simple example: Say that f(x) is x+1 and g(x) is x^2. While f(x)g(x) would be (x+1)x^2, f of g of x would be x^2+1. Continuing on with the same example, the f(x)g(x) …
Differentiate the function. f x sin x ln 4x
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WebThis calculus video tutorial explains how to find the derivative of the trigonometric functions Sin^2(x), Sin(2x), Sin^2(2x), Tan3x, and Cos4x.My Website: h... WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.
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 …
WebLet u (x)=p. Then we're taking the derivative with respect to p of v (p) is v' (p)=1/p. Resubstitute p and we get v'=1/ (√x). By chain rule, to get the derivative of v with respect to x, we then multiply by u' (x). So our result is. 1/ (√x)• [1/ (2√x)]=1/ (2x). ( 6 votes) WebExplanation: . f(x) = ln(x 2 * tan(x 2))?. The chain rule is necessary. For the natural logarithm "portion", we know the derivative will be:1/(x 2 * tan(x 2)). However, we must add the derivative of the argument using the product rule: 2x*tan(x 2) + x 2 * 2x * sec 2 (x 2). The whole derivative: f'(x) = (2x * tan(x 2) + x 2 * 2x * sec 2 (x 2))/(x 2 * tan(x 2)). …
WebLearn how to solve differential calculus problems step by step online. Find the derivative of x^2-1/4x. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant. The power rule for differentiation states that if n is a real number and f(x) = …
WebLearn how to solve differential calculus problems step by step online. Find the derivative using the quotient rule x^2-1/4x. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant. The power rule for differentiation states that if n is a … lavatory strainer stainless steel finishWebDifferentiate the function. f(x) = sin(x) ln(8x) This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. jwhat is a law llm degreeWebNo, actually. To find the derivative of ln(4x), you have to use the chain rule. ln(4x) = 1/(4x) * 4 = 1/x ... (2-e^x) is a composite function [f(g(x))] where f(x) = ln(x) and g(x) = 2 - e^x. … lavatory strainer stainless steelWebMar 20, 2024 · Explanation: d dx lnf (x) = f '(x) f (x) ⇒ d dx (ln(lnx)) = d dx(lnx) lnx. = 1 x lnx. 1 xlnx. Answer link. lavatory sinks undermountWebAnswer to Solved Differentiate the function.f(x) = ln(4sin2(x))f '(x) This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn … lavatory stopper assemblyWebCalculus. Find the Derivative - d/d@VAR f (x)=4 square root of xsin (x) f (x) = 4√xsin(x) f ( x) = 4 x sin ( x) Differentiate using the Constant Multiple Rule. Tap for more steps... 4 d … j whatleyWebThe chain rule is used to differentiate any composite function of the form y = f(g(𝑥)). That is a function that has an inner function with an outer function applied to it. For example y = (3𝑥 + 2) 5 is made of the functions g(𝑥) = 3𝑥 + 2 and f(𝑥) = 𝑥 5. Here are some example of when and when not to use the chain rule: j whatman watermark