Question

if y=xpower n .then find dy/DX .this topic is differentiation ... solve this question​

Answer 1

Answer:

Subtract x2 from both sides:y2 = r2 − x2

Square root:y = ±√(r2 − x2)

Let's do just the positive: y = √(r2 − x2)

As a power: y = (r2 − x2)½

Derivative (Chain Rule):y' =½(r2 − x2)−½(−2x)

Simplify:y' = −x(r2 − x2)−½

Simplify more:y' = −x (r2 − x2)½

Now, because y = (r2 − x2)½: y' = −x/y.

use this stap

Answer 2

Answer:

$y = {x}^{n} \\ \\ \frac{d(y)}{d(x)} = \frac{d( {x}^{n} )}{d(x)} = n \times {x}^{n - 1} \\ \\ \\ \\ dear \: best \: friend \: your \: right \: \: answer$

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