The slope of the tangent line to the parabola y=4x2+4x+5 at the point (3,53) is:
Added by Sandy R.
Step 1
Using the power rule, dy/dx = 8x + 4 (since d/dx(4x^2)=8x, d/dx(4x)=4, d/dx(5)=0). Show more…
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Find an equation of the tangent line to the parabola y = 3x^2 at the point P(4, 48) using this definition. SOLUTION Here we have a = 4, and f(x) = 3x^2, so the slope is m = lim x->4 (f(x) - f(4)) / (x - 4) Using the point slope form of the equation of a line, we find an equation of the tangent line at (4, 48) is
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