Calculus
Let f(x)=21−x^2
The slope of the tangent line to the graph of f(x) at the point (−4,5) is ______ .
The equation of the tangent line to the graph of f(x) at (−4,5) is y=mx+b for
m=______
and
b=_______.
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Answers
The slope of the tangent line to the graph of f(x) at the point (−4,5) is -8. The equation of the tangent line to the graph of f(x) at (−4,5) is y=-8x+b, where b is the y-intercept of the line. Explained another way, the equation of the tangent line to the graph of f(x) is y=-8x+5, since the y-intercept of the line is the value of f(x) at x=-4 -- in this case 5.
