Question

If X=2at²,y=at⁴ find dy/dx​

Answer 1

Answer:

dy/dx

d(at quartic) /d( 2 at square)

t square / 2

therefore, answer is t square / 2

Answer 2

Step-by-step explanation:

$d (x) \div dx = (d(2a {t}^{2} ) \div dt) \times (dt \div dx)$

dX/dx = (2×2 at) (dt÷dx) = (4at)(dt ÷ dx)

$d(y) \div dy = (d(a {t}^{4} ) \div dt)(dt \div dy)$

dY / dy = (4at^3) (dt÷dy)

dY / dX = [ (4at^3)(dt) ] / [ (4at)(dt) ]

= t^2.

ANS.