A Calculus question.

Consider the parabola y=5x-x^2

(a) Find the slope of the tangent line to the parabola at point (1,4)

(b) Find an equation of the tangent line in part (a)

Question

A Calculus question.

Consider the parabola y=5x-x^2

(a) Find the slope of the tangent line to the parabola at point (1,4)

(b) Find an equation of the tangent line in part (a)

imstuck · Answer

To find the slope, find the first derivative.  The first derivative will give you the equation of the tangent line.

imstuck · Answer

What is the derivative of that equation?

anonymous · Answer

I'm not sure. I've gotten as far as plugging in the parabola into the difference quotient:
(5(x+h)-(x+h)^2)-(5(x)-(x)^2)/h

anonymous · Answer

I just learned this, this morning and I'm really confused.

freckles · Answer

Expand the top more to see if it can be simplified

imstuck · Answer

Ok, the derivative is like this:

imstuck · Answer

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