06 * Example 1 y=x^2+x-2 y = 1/2 x^2 + 4x - 2 y = x^2 + 4x - 2 y = x^2 - 2x - 1 Find the function f(x) satisfying the given conditions: f'(x) = 2x + 4, f(1) = 3.

If xis large, which function grows faster, f(x)=2x or g(x)=x2?

Differentiate the following function. y=x(x³ +5) ³ Choose the correct setup below to differentiate the function. [x(x5 +5)³] = (x)•. J :(x5 + 5)³) + ((x³ +5)³).) dx d « (x5 + 5)³] = « - -(x* + 5) ³) - ((x³ +5)³).) dx dx [x (x* +5)³]=2• [x(x° +5) ³].[x (x* + 5) ³] dx dx d d Ix(x5 +5)³]= x) • 3 (a5 +5) + ((x³ +5) ³) · x) d [x (x5 + 5)³] = (x) • ) + ( (x5 + 5) ³) • -c() + ( (x5 +5) ³) • (x5 + 5) ³) dx dx dx d [x(x* + 5)³ : dx

F(2) for f(x)=x^2-4x+1