Answer:
(a) f'(1)=-4
(b) y+4x-4=0
Step-by-step explanation:
<u>Tangent Line of a Function</u>
Given f(x) a real differentiable function in x=a, the slope of the tangent line of the function in x=a is given by f'(x=a). Where f' is the first derivative of f.
We are given
The derivative is
(a) The slope of the tangent line at (1,0) is
(b) The equation of the tangent line can be found with the general formula of the line:
Where m is the slope and the point (xo,yo) belongs to the line. We have m=-4, xo=1, yo=0, thus
Or, equivalently
Your answer is -5.
This is because, if you expand the single bracket, you get -6x -3a, and since the other side of the equals sign is -6x + 15, then you need to do 15 ÷ -3 = -5.
I hope this helps!
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Find the multiplier by diving the percentage by 100
116/100 = 1.16
Divide the number of employees by this:
80/1.16 = 68.9655...
There would be 68 employees.
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Answer:
Step-by-step explanation:
y and x are the point while 'm' is the slope and 'c' is the intercept
or using calculus
differentiating y with respect to x
dy/dx=m
which is the required slope
