Question 439367
Find the equation of the tangent line for the curve f(x) = x^3 - 2x + 5 at x = 2 (Write equation in y = mx + b form)
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f(x) = x^3 - 2x + 5
f'(x)=3x^2-2
f'(2)=12-2=10=m
f(2)=8-4+5=9
y=mx+b
using point (2,9)
9=10(2)+b
b=-11
Equation:
y=10x-11