2026 CVSS P2 Q3

2026 CVSS P2 Q3

Secondary 4
5 marks

The gradient of the tangent at a point \((x,y)\) on a curve is given by \(\dfrac3{(2+3x)^2}+\dfrac3{\cos^2x}\). The curve has \(y\)-intercept 1. Find \(y\) in terms of \(x\).[5]

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Answer:\(y=-\dfrac1{2+3x}+3\tan x+\dfrac32\).

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