Question 9

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Jambmaths question: 

The slope of the tangent to the curve $y=3{{x}^{2}}-2x+5$at the point (1,6) is

Option A: 

4

Option B: 

1

Option C: 

6

Option D: 

5

Jamb Maths Solution: 

$\begin{align}  & y=3{{x}^{2}}-2x+5 \\ & \frac{dy}{dx}=6x-2 \\ & \text{Note }\frac{dy}{dx}\text{ is the slope of the tangent, so at point (1,6)} \\ & \frac{dy}{dx}\left| _{(1,6)} \right.=6(1)-2=4 \\\end{align}$

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