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find y prime and double prime
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what is y?
\[y=cscx-4\sqrt{x}+7\]
i know that \[cscx=-cscx.cotx\] and rule for constant every constant is equal o zero i need help with \[-4\sqrt{x}\]
ok derivative of √x=(1/2)x^(1/2-1)
=(1/2)x^(-1/2)
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=(1/2√x)
can you please use the equation format
Refer to the Mathematica attachment.
Square root is a good derivative to memorize :) You can rationalize it and apply power rule to the fractional exponent, but it comes up so often that it's worth stuffing into your brain. Derivative of square root x is 1 over 2 square roots of x
\[\Large\rm \frac{d}{dx}\sqrt{x}=\frac{1}{2\sqrt x}\]
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