Search

1 of 8 0-day streak

Estimate instantaneous rates with secants and tangents

Question 1 of 8

No calculator

Consider a smooth polynomial curve near the target input

\[a=0\]

The line through the two labelled points is supplied as the exact tangent to the curve at x = a. Use the labelled coordinates, not a measurement from the drawing

\[P=(-1,-\frac{3}{2}),\quad Q=(1,\frac{3}{2})\]
A smooth quadratic with its supplied tangent at (0, 0). The tangent passes through P (-1, -3/2) and Q (1, 3/2).-2-1120-8-6-4-22468PQTxf(x)
1 mark

Calculate the exact gradient of the supplied tangent

Format: Exact value; a fraction is accepted