Use the definition of the derivative, f'(x)=limh?0f(?x+h??)?f(?x?)/h f?(x)=limh?0f(?x+h??)?f(?x?)h, to findf?(x)f?(x) where f(x?)=x2+xf(x?)=x2+x.

Use the definition of the derivative, f'(c)=lim?x?0f(?c+??x??)?f(?c?)?xf?(c)=lim?x?0f(?c+??x??)?f(?c?)?x, to findf?(c)f?(c) where f(?x?)=4x3?2f(?x?)=4x3?2 at c =1.

Use the definition of the derivative, f'(c)=lim?x?0f(?c+??x??)?f(?c?)?xf?(c)=lim?x?0f(?c+??x??)?f(?c?)?x, to findf?(c)f?(c) where f(?x?)=x+2??????3 f(?x?)=r tx+2 ?3 and c=?1.

If f(x)=x2f(x)=x2 and f?(x)=2xf?(x)=2x, what is the equation of the tangent line at c = 1?

Use the graph below to find the slope of the function at x = 0.

Which line is the secant line? Which is the tangent line?

X IN +-10 -8 -8 -7 -6 -5 -4 -3 1 14 1 2 3 4 5 6 7 8 9 10