Question
power rule
log3xp
log3xp
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Answered by
GPT 3.5
To differentiate the expression using the power rule, we differentiate each term separately.
The power rule states that d/dx(x^n) = nx^(n-1), where n is a constant.
In this case, we have:
d/dx(log(3xp))
= d/dx(log(3x) + log(p))
Using the power rule, we differentiate each term separately:
= d/dx(log(3x)) + d/dx(log(p))
Applying the derivative of the logarithmic function, we have:
= 1/(3x) * d/dx (3x) + 1/p * d/dx (p)
= 1/(3x) * 3 + 0
= 1/x
Therefore, the derivative of log(3xp) with respect to x is 1/x.
The power rule states that d/dx(x^n) = nx^(n-1), where n is a constant.
In this case, we have:
d/dx(log(3xp))
= d/dx(log(3x) + log(p))
Using the power rule, we differentiate each term separately:
= d/dx(log(3x)) + d/dx(log(p))
Applying the derivative of the logarithmic function, we have:
= 1/(3x) * d/dx (3x) + 1/p * d/dx (p)
= 1/(3x) * 3 + 0
= 1/x
Therefore, the derivative of log(3xp) with respect to x is 1/x.
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