Physics, asked by ayeshakalwa6, 7 months ago

differentiation y =x^7/2

Answers

Answered by Anonymous

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y=x^7/2

dy/dx=7/2 x^7/2-1

dy/dx=7/2 x^5/2

Answered by smithasijotsl

Answer:

The differentiation of $x^{\frac{7}{2} }$ = $\frac{7}{2} x^{\frac{5}{2}$

Explanation:

The given expression is y = $x^{\frac{7}{2} }$

To find,

The differentiation of the given expression

Recall the formula

$\frac{d}{dx} x^n = nx^{n-1}$

Solution:

Since the given expression is $x^{\frac{7}{2} }$ , we have n = $\frac{7}{2}$

Substitute in equation (1) we get

$\frac{d}{dx} x^{\frac{7}{2}$ = $\frac{7}{2} x^{\frac{7}{2} - 1}$

= $\frac{7}{2} x^{\frac{5}{2}$

∴The differentiation of $x^{\frac{7}{2} }$ = $\frac{7}{2} x^{\frac{5}{2}$

#SPJ2

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