GRADIENT AT A POINT

# GRADIENT AT A POINT

C
Asked by 2 months ago
10 million points

Find the coordinates of the points on the curve $y-x^2$, given by $x=4$ and $-10$, and find the gradient of the curve at these points.

chegendungu

C
Answered by 2 months ago
10 million points

$y=x^2$

When $x=4$, $y=4^2=16$

The gradient function $=2$x

$\therefore$ the gradient $=8$, when $x=4$

$\therefore$ the point is $(4,16)$, and the gradient is $8$.

When $x=-10$, $y=x^2=+100$

The gradient function $=2x=-20$

$\therefore$ the point is $(-10, 100)$, and the gradient is $-20$.

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