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Popular >

d/(dy)((x)(0.1y+ln(0.01y)))

Solution

\frac{d}{d y} ((x) (0.1 y + ln (0.01 y)))

Solution

x (0.1 + \frac{1}{y})

Solution steps

\frac{d}{d y} ((x) (0.1 y + ln (0.01 y)))

Treat

x

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= x \frac{d}{d y} (0.1 y + ln (0.01 y))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= x (\frac{d}{d y} (0.1 y) + \frac{d}{d y} (ln (0.01 y)))

\frac{d}{d y} (0.1 y) = 0.1

\frac{d}{d y} (ln (0.01 y)) = \frac{1}{y}

= x (0.1 + \frac{1}{y})

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Frequently Asked Questions (FAQ)

What is the d/(dy)((x)(0.1y+ln(0.01y))) ?
The d/(dy)((x)(0.1y+ln(0.01y))) is x(0.1+1/y)
What is the first d/(dy)((x)(0.1y+ln(0.01y))) ?
The first d/(dy)((x)(0.1y+ln(0.01y))) is x(0.1+1/y)