How do I find dx/dt implicitly with the

anadyrskia0g5

anadyrskia0g5

Answered question

2022-03-26

How do I find dx/dt implicitly with the function tan(x)=4t1?

Answer & Explanation

Roy Brady

Roy Brady

Beginner2022-03-27Added 19 answers

If you find implicit differentiation a bit confusing, try considering your variables to be functions of some third variable, such as s and take the derivative with respect to that variable.
tanx=4t1
ddstanx=dds4t1
sec2xdxds=4t2dtds
sec2xdx=4t2dt
dxdt=4t2sec2x
=4cos2xt2

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