where is the question I dont see it
Answer: 80 and 100
Step-by-step explanation:
180/2=90
90+10=100
90-10=80
First list all the terms out.
e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...
Then, we can expand them.
e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...
Then, we can use the rules of raising i to a power.
e^ix = 1 + ix - x^2/2! - ix^3/3!...
Then, we can sort all the real and imaginary terms.
e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)
We can simplify this.
e^ix = cos x + i sin x
This is Euler's Formula.
What happens if we put in pi?
x = pi
e^i*pi = cos(pi) + i sin(pi)
cos(pi) = -1
i sin(pi) = 0
e^i*pi = -1 OR e^i*pi + 1 = 0
That is Euler's identity.
Answer:

Step-by-step explanation:
we would like to figure out the differential coefficient of 
remember that,
the differential coefficient of a function y is what is now called its derivative y', therefore let,

to do so distribute:

take derivative in both sides which yields:

by sum derivation rule we acquire:

Part-A: differentiating $e^{2x}$

the rule of composite function derivation is given by:

so let g(x) [2x] be u and transform it:

differentiate:

substitute back:

Part-B: differentiating ln(x)•e^2x
Product rule of differentiating is given by:

let
substitute

differentiate:

Final part:
substitute what we got:

and we're done!