AM Applications of Differentiation Practice Question 2
Given that $y=a{{x}^{5}}$, where $a\ne 0$ , and $\frac{\text{d}y}{\text{d}x}=\frac{3}{2}$ at $\left( 1,b \right)$, find
(i)
the value of $a$ and of $b$,
(ii)
the equation of the tangent to the curve at the origin.
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