Question

find the derivative of the function y=x^2 with respect to x at x=1.​

Answer 1

Answer:

Attached photo

Step-by-step explanation:

Hope this helps.

Answer 2

The correct answer is 2.

Given: The equation = $y=x^{2}$.

To Find: The derivative at x = 1.

Solution:

Formula: If y = $x^{n}$.

$\frac{dy}{dx}=\frac{d(x^{n} ) }{dx}$

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

The equation = $y=x^{2}$.

$\frac{dy}{dx}= \frac{d(x^{2} )}{dx}$

$\frac{dy}{dx}= 2(x^{2-1} )$

$\frac{dy}{dx}= 2x$

As we have to find derivative at x = 1, so put x = 1.

$\frac{dy}{dx}= 2(1)$

$\frac{dy}{dx}= 2$

Hence, the derivative of $y=x^{2}$ at x = 1 is 2.

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