F'(x)=-2x{e^(-x²)}
Equating f'(x)=0,
i.e,
-2x{e^(-x²)}=0....eqn(i)
For maximum slope:
Differentiating (i) wrt x,we get,
4x² {e^(-x²)}-2 {e^(-x²)}=0
{e^(-x²)} [4x²-2]=0
4x²-2=0
x=1/√2
If f(x)=y then f'(x)=dy/dx=slope
So,
Maximum slope
= f'(x)
= -2x{e^(-x²)}
=-2×(1/✓2){e^(-1/✓2)²}
= -✓2{e^(-1/2)}
=(-sqrt 2/sqrt e)
=-sqrt(2/e)➡c is correct
Answer:
Perimeter = 12
Step-by-step explanation:
Perimeter of a square: P = 4(s)
P = Perimeter
S = side
<u>Step 1:</u> Calculate
P = 4(3)
P = 12
Answer:

Step-by-step explanation:
Given
Represent the weight of the Jar with J and the sugar with S
Initially, we have:

After 2/3 of sugar is removed we have:

Required
Determine the weight of the jar
--- (1)
--- (2)
Simplify (2)

Take LCM


Make S the subject in (1)


Substitute 850g - J for S in 

Multiply through by 3


Collect Like Terms


Make J the subject


<em>The jar weighs 370g</em>
Answer:
6
Step-by-step explanation: