what is the derivative of 1

what is the derivative of 1 There are several methods to do this Let y 1 sinx cscx Method 1 Chain Rule Rearrange as y sinx 1 and use the chain rule Let u sinx du dx cosx Then y u 1 dy du u 2 1 u2 dy dx dy du du dx dy dx 1 u2 cosx dy dx cosx sin2x dy dx cosx sinx 1 sinx

15084 views around the world You can reuse this answer What is the derivative of 1 x 1 Calculus Basic Differentiation Rules Quotient Rule 1 Answer Bill K

what is the derivative of 1

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Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Eddie Remember that the limit definition of the derivative goes like this f x lim h 0 f x h f x h So for the posted function we have f x lim h 0 m x h b mx b h By multiplying out the numerator lim h 0 mx mh b mx b h By cancelling out mx s and b s lim h 0 mh h By cancellng out h s

Answer link This function can be written as a composition of two functions therefore we use the chain rule Let f x 1 sqrt x then y 1 u and u x 1 2 since sqrt x x 1 2 Simplifying further we have that y u and u x 1 2 The chain rule states dy dx dy du xx du dx This means we have to differentiate both Help 1 sqrt 1 x 2 Let y sin 1x so siny x and pi 2

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Answer link Aviv S Apr 12 2018 The derivative is x 1 x2 1 x2 2 Explanation Using the quotient rule d dx 1 1 x2 d dx 1 1 x2 1 d dx 1 x2 1 x2 2 0 1 x2 1 d dx 1 x2 1 x2 To find the derivative of a ratio apply the formula D f x g x f x g x f x g x g2 x In particular if f x 1 you have that f x 0 and the expression becomes D 1 g x g x g2 x Since your g x is x2 you easily get that g x 2x So g x g2 x 2x x4 2 x3 Answer link iOS

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