How do you use the derivative to find

Max Williams

Max Williams

Answered question

2022-04-12

How do you use the derivative to find the slope of a curve at a point?

Answer & Explanation

granfury90210birm

granfury90210birm

Beginner2022-04-13Added 10 answers

If f'(x) is the derivative of f(x), input the x value of the point to f'(x).
Say you have f(x)=x2, then the derivative is f'(x)=2x.
To find the slope of x2 at the point (3,9), put the x value of the point into the derivative: f'(3)=2*3=6
So at (3,9) the function is sloping upwards at 6 units.
rhyclelal80j6

rhyclelal80j6

Beginner2022-04-14Added 13 answers

1) Find the first derivative of f(x). 2) Plug x value of the indicated point into f '(x) to find the slope at x. 3) Plug x value into f(x) to find the y coordinate of the tangent point. 4) Combine the slope from step 2 and point from step 3 using the point-slope formula to find the equation for the tangent line.

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