Find the equation of the line tangent to the graph of h(x)=5x^(3)-10x^(2)+20 at x=2 (answer has to be in slope intercept form)
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Find the equation of the line tangent to the graph of h(x)=5x^(3)-10x^(2)+20 at x=2 (answer has to be in slope intercept form)
Slope intercept form is y=mx+b.
You are given x. For y, plug x=2 into h(x).
To find m, differentiate h(x) and plug in x=2. Then, you have the slope at that point.
Plug all this into y=mx+b and solve for b. You're done.
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