Question

find the slope of the curve y=x^2+x at x=3

Answer 1

if you could assist me i would greatly appreciate your effort.@amistre64 @ganeshie8 @myininaya @jim_thompson5910

Answer 2

@amistre64

Answer 3

Have you considered the 1st Derivative?

Answer 4

yes i beleive im doing it wrong as i get (3+h)^2+3-12/h and end up getting the slope to be six but thats not one of my choices

Answer 5

slope is nothing but derivative that is dy/dx
so can you tell me what is derivative of x^2 + x ?

Answer 6

im not familiar with that formula as i have just begun calculus and we have only been taught the difference quotient of f at a. @tgawade

Answer 7

use this derivative of x^n = n * x^(n-1)

Answer 8

so can u tell me what is derivative of x^2 = --?

Answer 9

[(3+h)^2+3-12]/h
is correct,
how did you proceed ?

Answer 10

i simplified and got 6h+h^2/h

Answer 11

then i cancel the hs and got 6+h

Answer 12

then i pugged in zero and got 6

Answer 13

let me go through it again

Answer 14

should i have replaced both x's in x^2+x with 3+h instead of one

Answer 15

f(x+h) = (x+h)^2 +(x+h)
so

[(3+h)^2+3-12]/h
is infact NOT correct

Answer 16

yes, thats correct,
both "x"s in f(x), replace it by x+h

Answer 17

[(3+h)^2+3+h-12]/h

Answer 18

so you would get h(6+h+1)/h cancel hs then plug in o for h and get 7 for the slope correct

Answer 19

now you will get the correct answer :)
oh you already did!

yesss, 7 is correct slope :)

Answer 20

thank you for your assistance i appreciate your time and effort @hartnn @tgawade @tkhunny

Answer 21

welcome ^_^

Answer 22

i know the easiest way to solve this does anybody want to know ??????