SOLUTION: The equation of a curve is given by y = 4x^4+10 Obtain the tangent line to the curve at the point where x = 2. Please enter your answer as an equation in the form: y = m x + c

Question 967188: The equation of a curve is given by
y = 4x^4+10
Obtain the tangent line to the curve at the point where x = 2. Please enter your answer as an equation in the form: y = m x + c
for some constants m, c.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

At x=2,
, the slope of the tangent line at x=2.

The y coordinate for x=2, according to the given degree-four equation is .

You want the equation of the tangent line at point (2,74) and slope 128. You can use point-slope form to continue...
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