Find the derivative of x power of y = 2

Find the derivative of x power of y = 2

y=2^x
y'=2^xln2

If x + y = 10, X3 + Y3 = 100, then x2 + Y2=______ .

X3 + Y3 = (x + y) (x2-xy + Y2), (x2-xy + y2 = 10, ∵ x + y = 10, ∵ x2 + 2XY + y2 = 100,

The second power of (X-Y) × (X-Y) × (Y-X) = ()

2 power of (x - y) × 5 power of (x - y) × (Y-X)
=-The second power of (X-Y) × (X-Y) × (X-Y)
=-The (2 + 5 + 1) power of (X-Y)
=-The eighth power of (X-Y)

Calculate (x-1 + Y-1) / (x-1-y-1) =___ .

The original formula = (1
X+1
y）÷（1
X-1
y）=x+y
xy÷y-x
xy=y+x
y-x．
So the answer is: y + X
y-x．

Find the derivative of y = e to the power of X + 1 / E to the power of X-1（

y=e^x+e^(1-x)
y'=e^x-e^(1-x)

How to calculate the x-th derivative of y = x / E

This can be seen as the - x power of x times E
That is, 1 times the - x power of e minus x times the - x power of E
Just merge it

Given Tan = 3, find the (Sina + COSA) power 2 Tell me the way to solve this kind of problem

Turn on (Sina + COSA) 2
It's + 2sinacosa + cos2a
That two means square
The denominator is 1, namely sin2a + cos2a
Divide the numerator and denominator by cos2a at the same time
Can we have a look?

It is proved that the fourth power of cosa / 2 - the fourth power of sina / 2 = cosa

0

0

Because: Sina + cosa = radical 2 then: (Sina + COSA) ^ 2 = 2 (Sina) ^ 2 + (COSA) ^ 2 + 2sinacosa = 21 + 2sinacosa = 1 / 2 then: (Sina COSA) ^ 2 = (Sina + COSA) ^ 2-4sinacosa = 2-4 * (1 / 2) = 0, then: Sina cosa = 0 because: (Sina) ^ 4 + (COSA) ^ 4 = [(Sina) ^ 4 + 2 (si

Simplification: the fourth power of cosa and the fourth power of sina

The fourth power of cosa - the fourth power of sina
=(cos²a)²-(sin²a)²
=(cos²a+sin²a)(cos²a-sin²a)
=cos²a-sin²a
=cos2a