Question

if derivative of y=8 (sin^1/2) is dy/dx =k cos x/sin x^1/2 what is the numerical value of constant k

Answer 1

Hola User_________________________

Here is Your Answer.....!!!!!
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〽↖⤵⤵Actually welcome to the concept of the Derivatives ....

〽〽↖Basically we know that Derivatives is nothing but finding the tangent or slope of any curve ....

〽⤵⤵So here as per given condition we can see ....

⤵⤵〽y = 8 ( sin^1/2 x )

〽〽↖↖so differentiatiting this with respect to X we get ...

〽〽⤵⤵↖dy/dx = 8 × 1/2 ( sin ^-1/2 x ) . dy/dx (sinx)

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〽〽we get ..

⤵⤵↖4 cos x / sin^1/2 x

〽〽⤵⤵so as per given condition ....if we compare then we get to know that ....
the value of constant k is 4

thus

⤵⤵K ===> 4 ⤵⤵

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Hope it helps u.......☺

Answer 2

answer for this question is 4