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Question

Mathematics Question on Differential Calculus

if x=3at(a+t3),y=3at2(1+t3),thendydxatt=12x=\frac{3at}{(a+t^3)},y=\frac{3at^2}{(1+t^3)}, then \frac{dy}{dx }at \,\,t=\frac{1}{2} is

A

43\frac{4}{3}

B

1712\frac{17}{12}

C

1915\frac{19}{15}

D

54\frac{5}{4}

Answer

1712\frac{17}{12}

Explanation

Solution

The correct option is (B): 1712\frac{17}{12}