blog #somethin

so im a little late but i been sick all weekend. last week we learned about derivatives and the many forms a question about derivatives might take. so the formula for the derivative of a tangent line is f(x)= f(x+deltax)-f(x)/deltax. say u had to find the derivative of x^3+3x:

the first thing u would do is plug in ur formula: lim over deltax -> 0 (x+deltax)^3 + 3(x+deltax) - (x^3+2x)/deltax

(x+deltax) (x^2+3xdeltax+deltax^2)

x^3 + 3x^2deltax + xdeltax^2 + x^3deltax + 3x^2deltax^2 + xdeltax^3 / deltax

which comes to: x^3 + 4x^2 + 4xdeltax + deltax^2

then u plug in 0 for deltax: x^3 + 4x^2

tada