What is the derivative of ln(,\at ^c) ?

The derivative of ln(,\at ^c) is 1/(,\at ^c)(,\at ^cln(\at))

What is the first derivative of ln(,\at ^c) ?

The first derivative of ln(,\at ^c) is 1/(,\at ^c)(,\at ^cln(\at))

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derivative of

ln (, at^{c})

\frac{1}{, at ^{c}} (, at^{c} ln (at))

Solution steps

\frac{d}{d c} (ln (, at^{c}))

Apply the chain rule:

\frac{1}{, at ^{c}} \frac{d}{d c} (, at^{c})

= \frac{1}{, at ^{c}} \frac{d}{d c} (, at^{c})

\frac{d}{d c} (, at^{c}) = (, at^{c} ln (at))

= \frac{1}{, at ^{c}} (, at^{c} ln (at))

\int - \frac{1}{50} d x

\frac{d y}{d x} = \frac{1}{x + 1} y + 4 x^{2} + 4 x

2 (t - 2)^{2}

\frac{d y}{d x} = \frac{3 x + 1}{4 y}

\int_{0}^{1} \frac{5 x ^{4}}{1 + x ^{5}} d x

What is the derivative of ln(,\at ^c) ?
The derivative of ln(,\at ^c) is 1/(,\at ^c)(,\at ^cln(\at))
What is the first derivative of ln(,\at ^c) ?
The first derivative of ln(,\at ^c) is 1/(,\at ^c)(,\at ^cln(\at))