Answer:
the correct answer is number 2 and 3 and 4 just
In the given question the equation given has only one variable and that is "x". So it is possible to find the exact value of x.
73/4 = X/8
We can write the given equation in an easier way for proper solving.
4 * X = 73 * 8
4X = 584
X = 584/4
= 146
The value of X comes out to be 146. So the options given here cannot be the correct options.
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
