What is derivative of x=6.4cos(1.2^2t^2) ?

The answer to derivative of x=6.4cos(1.2^2t^2) is (dt)/(dx)=-1/(18.432tsin(1.44t^2))

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derivative of x=6.4cos(1.2^2t^2)

derivative of

x = 6.4 cos (1. 2^{2} t^{2})

\frac{d t}{d x} = - \frac{1}{18.432 t sin ( 1.44 t ^{2} )}

Solution steps

x = 6.4 cos (1. 2^{2} t^{2})

Treat

t

t (x)

Differentiate both sides:

1 = - 18.432 sin (1.44 t^{2}) t \frac{d t}{d x}

Isolate

\frac{d t}{d x} : \frac{d t}{d x} = - \frac{1}{18.432 t sin ( 1.44 t ^{2} )}

\frac{d t}{d x} = - \frac{1}{18.432 t sin ( 1.44 t ^{2} )}

What is derivative of x=6.4cos(1.2^2t^2) ?
The answer to derivative of x=6.4cos(1.2^2t^2) is (dt)/(dx)=-1/(18.432tsin(1.44t^2))