Calculus

Differentiability

Tangent Line at a Point

         

Which of the following is the tangent line to the curve f(x)=2x38x2f(x)=2x^3-8x^2 at the point (1,6)?(1,-6)?

Find the equation of the tangent line to the curve x2yx=4y3108x^2y-x=4y^3-108 for x=0.x=0.

What is the equation of the line that passes through the point (3,24)(3,24) and is perpendicular to the tangent line of the curve y=x2+5x y=x^2+5x at that point?

Given the curve x=t3,y=4t2+9,x=t^3, y=4t^2+9, what is the yy-intercept of the tangent line to the curve at t=1?t=1 ?

What is the yy-intercept of the tangent line to the curve y=ex4y=e^{x-4} at the point (5,e)?(5,e)?

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