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Assume that x and y are both differentiable functions of t and are related by the equation y=cos(5x). Find [tex]\frac{dy}{dt}[/tex] when x= [tex]\frac{\pi }{10}[/tex], given
[tex]\frac{dx}{dt}[/tex] = -4 when x= [tex]\frac{\pi }{10}[/tex]
Enter an exact answer.
[tex]\frac{dy}{dt}[/tex]=______
Sagot :
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