◆50 points question◆ solve.........
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Since −1-1 is constant with respect to xx, the derivative of −1x2-1x2 with respect to xx is −ddx[1x2]-ddx[1x2].
−ddx[1x2]-ddx[1x2]
Apply basic rules of exponents.
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−ddx[x−2]-ddx[x-2]
Differentiate using the Power Rule which states that ddx[xn]ddx[xn] is nxn−1nxn-1 where n=−2n=-2.
−(−2x−3)-(-2x-3)
Multiply −2-2 by −1-1.
2x−32x-3
Rewrite the expression using the negative exponent rule b−n=1bnb-n=1bn.
21x321x3
Combine terms.
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Write 22 as a fraction with denominator 11.
211x3211x3
Multiply 2121 and 1x31x3.
2x32x3
−ddx[1x2]-ddx[1x2]
Apply basic rules of exponents.
Tap for more steps...
−ddx[x−2]-ddx[x-2]
Differentiate using the Power Rule which states that ddx[xn]ddx[xn] is nxn−1nxn-1 where n=−2n=-2.
−(−2x−3)-(-2x-3)
Multiply −2-2 by −1-1.
2x−32x-3
Rewrite the expression using the negative exponent rule b−n=1bnb-n=1bn.
21x321x3
Combine terms.
Tap for fewer steps...
Write 22 as a fraction with denominator 11.
211x3211x3
Multiply 2121 and 1x31x3.
2x32x3
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to hard
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