If y = 2x3 - 4x and dx, dt equals 4, find dy, dt when x = 1. give only the numerical answer. for example, if dy, dt = 3, type only 3.

Question

Bailey Barr

Mathematics

24 December, 03:09

If y = 2x3 - 4x and dx, dt equals 4, find dy, dt when x = 1. give only the numerical answer. for example, if dy, dt = 3, type only 3.

+3

Answers (1)

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Andres Castillo · Answer 1

y = 2*3-4x;

differentiate with respect to t we get dy = - 4xdt; - - eqn 1

given dt = 4 substitute in eqn 1 we get, dy = - 4 x (4) = - 16x; - - eqn2

given x=1 then sub then the value of x in eqn 2 we get dy = - 16 (1) = - 16

ie Ans dy = - 16