On $y=x^2$, let $P=(2,4)$. A second point $Q$ has $x$-coordinate $2+h$. Show tha

Question

On $y=x^2$, let $P=(2,4)$. A second point $Q$ has $x$-coordinate $2+h$. Show that the gradient of $PQ$ is $4+h$, for $h\ne0$. Complete the table. $h$$1$$0.1$$0.01$$-0.01$ Gradient of $PQ$ Hence state the tangent gradient at $P$.

Accepted Answer

(a) $m_{PQ}=4+h$; (b) $5,\ 4.1,\ 4.01,\ 3.99$; (c) Tangent gradient $4$.

Differentiation

Differentiation

Solution:

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