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A footpath on a hillside is modelled by the curve y =… | StemPy Lab
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A footpath on a hillside is modelled by the curve y = x³, with x and y in metres. What is the gradient of the tangent to the path at x = 2 m?
Mathematics
Easy
High School (11–12)
Functions and Calculus › Application of Derivatives
A-Level
AP
IB
Created by
StemPy Lab
A footpath on a hillside is modelled by the curve
y
=
x
3
y = x^3
y
=
x
3
, with
x
x
x
and
y
y
y
in metres. What is the gradient of the tangent to the path at
x
=
2
m
x = 2\ \text{m}
x
=
2
m
?
4
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12
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