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B
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C
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D
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Solution
The correct option is A Note that the function is given in parametric form. Here differentiating y with respect to x is not straight forward. For this reason we will use chain rule. dydx=dydt.dtdx=dydt/dxdt So we differentiate y and x separately with respect to t and divide to get dydx as above. y=1+t4 i.e.,dydt=4t3……(1) x=3t3+t dxdt=9t2+1……(2) ∴dydx=dy/dtdx/dt=4t39t2+1 [using (1) and (2)] Hence option (a)