what is the derivative of 2 square root of x CLR This will be calculated d dx sin ex a 2 Not what you mean Use parentheses Set differentiation variable and order in Options Support Donate Amazon Result Above enter the function to derive Differentiation variable and more can be changed in Options Click Go to start the derivative calculation
Explanation Don t worry you don t need the chain rule for this one 2 is a constant so it can be taken out of the expression d dx 2 x 2 d dx x 2 d dx x1 2 2 d dx x1 2 2 1 2x 1 2 x 1 2 x 1 2 1 x Answer link Enter the function you want to find the derivative of in the editor The Derivative Calculator supports solving first second fourth derivatives as well as implicit differentiation and finding the zeros roots
what is the derivative of 2 square root of x
what is the derivative of 2 square root of x
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Question Video Finding The Derivative Of A Function Defined By An
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How To Find The Derivative Of Square Root Of X steps YouTube
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You would normally use the chain rule for compositions the derivative of the inner function x 1 is 1 1 multiplying by anything won t change anything so your answer may be anything equivalent to 1 2 sqrt x 1 Solution To find the second derivative of root x we will differentiate the first derivative of root x d 2 x dx 2 d 1 2 x dx 1 2 d 1 x dx Using derivative of scalar multiplication of a function d kf x dx k d f x dx 1 2 1 2 x 1 2 1 1 4 x 3 2 Answer The second derivative of root x is 1 4 x 3 2
By using product rule of differentiation f x 1 x x We get f x 0 1 2 x Hence f x 1 2 x Which is the derivative of square root of x Also use the product rule formula calculator to verify the above calculations Derivative of square root of x Have a question about using Wolfram Alpha Contact Pro Premium Expert Support Compute answers using Wolfram s breakthrough technology knowledgebase relied on by millions of students professionals For math science nutrition history geography engineering mathematics linguistics sports finance
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2 4K 225K views 6 years ago Differentiation Learn the steps on how to find the derivative of square root of x It is important to recognize that the square root of x is the same as raising x to Answer f x 1 2 x 3 Explanation f x lim h 0 f x h f x h f x x 3 f x h x h 3 then f x lim h 0 x h 3 x 3 h If we evaluate this right away we get lim h 0 x h 3 x 3 h x 3 x 3 0 0 0 so we need to simplify as this is an indeterminate form
Let t 2x So dt dx 2 By the chain rule the derivative of root 2x d d x 2 x d d t t dt dx 1 2 t dt dx as the derivative of root x is 1 2 x 1 2 2 x 2 as t 2x 1 2x So the derivative of square root 2x is equal to 1 2x and this is obtained by the chain rule of derivatives Have You Read These Derivative of 1 2x Calculus Find the Derivative d dx 2 square root of x 2 x 2 x Use n ax ax n a x n a x n to rewrite x x as x1 2 x 1 2 d dx 2x1 2 d d x 2 x 1 2 Since 2 2 is constant with respect to x x the derivative of 2x1 2 2 x 1 2 with respect to x x is 2 d dx x1 2 2 d d x x 1 2 2 d dx x1 2 2 d d x x 1 2
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what is the derivative of 2 square root of x - You would normally use the chain rule for compositions the derivative of the inner function x 1 is 1 1 multiplying by anything won t change anything so your answer may be anything equivalent to 1 2 sqrt x 1