Step 1: Find f'(x):
f'(x) = -6x^2 + 6x
Step 2: Evaluate f'(2) to find the slope of the tangent line at x=2:
f'(2) = -6(2)^2 + 6(2) = -24 + 12 = -12
Step 3: Find f(2), so you have a point on y=f(x):
f(2) = -2·(2)^3 + 3·(2)^2 = -16 + 12 = -4
So, you have the point (2,-4) and the slope of -12.
Step 4: Find the equation of your tangent line:
Using point-slope form you'd have: y + 4 = -12 (x - 2)
That is the equation of the tangent line.
If your teacher is picky and wants slope-intercept, solve that for y to get:
y = -12 x + 20
Answer:
length = 20 breadth = 10
Step-by-step explanation:
divide 900 by 15
= 60
60 divided by 6 because the length is twice the breath
60 / 6 is 10
so ten is the breadth of one side and double that is 20 so the length is 20
Hope this helped!
Answer:
1 kilometer is 1000 meters, so you multipy 1000 meters by the number of kilometers.
Step-by-step explanation:
1 kilometer = 1000 meters
<em>Hope this helped!!!! =)</em>
Answer:
125
Step-by-step explanation:
