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
Divide 24 by 4 because the denominator is 4..
24÷4=6
Multiply 6 by 3 because the numerator is 3.
6×3=18
<span>18/24 students speak both Spanish and English</span>
Answer:
i got 45
Step-by-step explanation:
Answer:
Step-by-step explanation:
What are we calculating ??? If it is volume of a cone=1/3πr^2h
1/3×3.142×4×4×6
=100.54units cube
To calculate volume of cylinder=πr^2h
V=3.142×4×4×6
V=301.63 units cube
Answer:
Less then denominator can be 20. I don't know equal. Greater denominator can just be 1.
