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:
f =38
Step-by-step explanation:
f-3/4=5/6
f-3×6=5×4
f-18 =20
f =20+18
f =38
Answer:
you can use a protector for finding the angles and a ruler finding the length of the lines
Answer:
Angle 2 and angle 14
Step-by-step explanation:
hope that helps
Answer: they are he same as 75%
Step-by-step explanation:
onvert 3/4 to a percent. Begin by converting the fraction 3/4 into decimal. Multiply the decimal by 100 and write the result with the percentage sign: 0.75 × 100 = 75%.
6 out of 8 can be written as 6/8 and equals to 75%. Let's understand the conversion of a fraction to a percentage. To find the percent for this fraction, we have to find the number of parts that would be shaded out of 100. To convert a fraction to percent, we multiply it by 100/100.
