How do you find the slope of a

Emilia Hoffman

Emilia Hoffman

Answered question

2022-04-09

How do you find the slope of a tangent line to the graph of the function f(x)=5x2+x at (-4, 76)?

Answer & Explanation

cloirdxti

cloirdxti

Beginner2022-04-10Added 12 answers

The slope, m, of the tangent to any function is the first derivative, f'(x), evaluated at the given x coordinate, "a":
m = f'(a)
Let's compute f'(x):
f'(x) = 10x + 1
Now evaluate at x = -4:
m = 10(-4) + 1
m = -39

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