benpark5370
28.10.2019 •
Mathematics
Determine the derivative of the following and leave the answer with positive exponents
ay/ax if y=5x+√x to the exponent 5/2x²
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Ответ:
It was a long time i have done this.
y=(5x+√x) ^(2.5 x²)
ln y= 2.5x² ln (5x+√x)
We use:
d (ln y)/dx=1/y* dy/dx
y'/y= 5x*ln(5x+√x)+2.5x²*1/(5x+√x) *(5+1/(2√x))
y'=(5x+√x) ^(2.5 x²)*[5x*ln(5x+√x)+2.5x²*1/(5x+√x) *(5+1/(2√x))]
Ответ:
I think that it's 27
Step-by-step explanation:
Because I think that exterior angles cannot be "vertical"