Math  /  Algebra

QuestionFind the secant line for f(x)=5xf(x)=\frac{5}{x} between x=4x=4 and x=5x=5, and the tangent line at x=4x=4.

Studdy Solution
Now we can write the equation of the tangent line as y=mtanx+by = m_{tan}x + b.
y=516x+.75y = -\frac{5}{16}x +.75The equation of the secant line is y=0.25x+2.25y = -0.25x +2.25 and the equation of the tangent line is y=516x+.75y = -\frac{5}{16}x +.75.

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