Help with calculus question please

[Chewy23]

 

[Deleted member 4993]

View attachment 26684

Hint: The slope of a tangent line is equal to (dy/dx).

Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this problem

 

[Dr.Peterson]

What have you tried? Where do you need help?

Did you use implicit differentiation on the hyperbola, and then use the point-slope form of the line? Or did you do something different?

At some point, you will have to use the fact that [MATH](x_1,y_1)[/MATH] is on the curve.

 

[nasi112]

As Khan said, find [MATH]m = \frac{dy}{dx}[/MATH], then

the equation of the tangent line is

[MATH]y - y_1 = m(x - x_1)[/MATH]
You just need to find [MATH]m[/MATH], and rearrange the equation to get the required one.