If the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find

EunoR

EunoR

Answered question

2021-10-29

If the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find f(4) and f’(4)

Answer & Explanation

yagombyeR

yagombyeR

Skilled2021-10-30Added 92 answers

The tangent to y=f(x) at (4,3)
This suggest that (4,3) is a point on the graph of y=f(x)
Therefore, f(4)=3
Slope of the tangent at x=4 to y=f(x) is f'(4)
Since the tangent passes through (4,3) and (2,0), its slope is equal to
m=2304=14=0.25
This is equal to f'(4)
Result: f(4)=3 and f'(4)=0.25

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