# If #3-x^2=tany#, then what is #dy/dx#?

The answer is

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Differentiating both sides

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is a solution to the differential equation #dy/dx=(1+x)(1+y)#?
- What is a solution to the differential equation #dy/dx=(1+x)/(xy)# with y(1)=-4?
- How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y=2-x#, #2<=x<=4# rotated about the x-axis?
- How do you find the arc length of the curve #y = 4 ln((x/4)^(2) - 1)# from [7,8]?
- How do you find the surface area of the solid obtained by rotating about the #x#-axis the region bounded by #y=e^x# on the interval #0<=x<=1# ?

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