Best Answer

if y=7/(x^3)-4/x

then

by the quotient rule

y'=(((0)(x^3)-(7(3x^2))/((x^3)^2))-(((0x)-(4))/(x^2))

Q: How can I find the derivative of y equals 7 divided by x to the 3rd power subtracted by 4 divided by x?

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1 divided by x to the third power equals x to the negative third. The derivative of x to the negative third is minus three x to the negative fourth.

Powers of e are simple to integrate. The derivative of eu equals u'eu; inversely, the antiderivative of eu equals eu/u'. Therefore, the antiderivative of e1/-x equals (e1/-x)/{d/dx[1/-x]}. The derivative of 1/-x, which can also be expressed as x-1, equals (-1)x(-1-1) = -x-2 = -1/x2.

381.8 divided by 10 to the fifth power equals 0.003818

The derivative of x is not x. X is the same as x^1, so you use the power rule which decreases the power by one and brings the exponent down, giving 1x^0, which is equal to 1.

In physics, Power is equal to Work divided by time:P = W/tP = PowerW = Workt = time

Related questions

1 divided by x to the third power equals x to the negative third. The derivative of x to the negative third is minus three x to the negative fourth.

Work divided by time is power.

Powers of e are simple to integrate. The derivative of eu equals u'eu; inversely, the antiderivative of eu equals eu/u'. Therefore, the antiderivative of e1/-x equals (e1/-x)/{d/dx[1/-x]}. The derivative of 1/-x, which can also be expressed as x-1, equals (-1)x(-1-1) = -x-2 = -1/x2.

381.8 divided by 10 to the fifth power equals 0.003818

D(y)= sin 2x

360,000 to the power of 12 divided by 3,600 to the power of 6 equals 2.1767823e+45

Three to the 4th power divided by 3 to the 7th power equals 0.03703703703

5,280 divided by 107 equals 0.000528

The derivative of x is not x. X is the same as x^1, so you use the power rule which decreases the power by one and brings the exponent down, giving 1x^0, which is equal to 1.

72 or 49

In physics, Power is equal to Work divided by time:P = W/tP = PowerW = Workt = time

The derivative is 2x based on the power rule. Multiply the power by the coefficient of x then drop the power by one.