[tex]y \times y = [/tex]
Step 1

For any two differentiable functions, the derivative of the product of two functions is the first function times the derivative of the second plus the second function times the derivative of the first.
Y^{1}\frac{\mathrm{d}}{\mathrm{d}Y}(Y^{1})+Y^{1}\frac{\mathrm{d}}{\mathrm{d}Y}(Y^{1})Y
1

dY
d
​
(Y
1
)+Y
1

dY
d
​
(Y
1
)

Step 2

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 00. The derivative of ax^{n}ax
n
is nax^{n-1}nax
n−1
.
Y^{1}Y^{1-1}+Y^{1}Y^{1-1}Y
1
Y
1−1
+Y
1
Y
1−1


Step 3

Simplify.
Y^{1}Y^{0}+Y^{1}Y^{0}Y
1
Y
0
+Y
1
Y
0


Step 4

To multiply powers of the same base, add their exponents.
Y^{1}+Y^{1}Y
1
+Y
1


Step 5

Combine like terms.
\left(1+1\right)Y^{1}(1+1)Y
1


Step 6

Add 11 to 11.
2Y^{1}2Y
1


Step 7

For any term tt, t^{1}=tt
1
=t.
2Y2Y



Solution
2Y2Y​