What is the derivative of (x+1770)/(30(x+2)) ?

The derivative of (x+1770)/(30(x+2)) is -(884)/(15(x+2)^2)

What is the first derivative of (x+1770)/(30(x+2)) ?

The first derivative of (x+1770)/(30(x+2)) is -(884)/(15(x+2)^2)

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derivative of

\frac{x + 1770}{30 ( x + 2 )}

- \frac{884}{15 ( x + 2 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x + 1770}{30 ( x + 2 )})

Take the constant out:

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

= \frac{1}{30} \frac{d}{d x} (\frac{x + 1770}{x + 2})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{1}{30} \cdot \frac{\frac{d}{d x} ( x + 1770 ) ( x + 2 ) - \frac{d}{d x} ( x + 2 ) ( x + 1770 )}{( x + 2 ) ^{2}}

\frac{d}{d x} (x + 1770) = 1

\frac{d}{d x} (x + 2) = 1

= \frac{1}{30} \cdot \frac{1 \cdot ( x + 2 ) - 1 \cdot ( x + 1770 )}{( x + 2 ) ^{2}}

Simplify

\frac{1}{30} \cdot \frac{1 \cdot ( x + 2 ) - 1 \cdot ( x + 1770 )}{( x + 2 ) ^{2}} : - \frac{884}{15 ( x + 2 ) ^{2}}

= - \frac{884}{15 ( x + 2 ) ^{2}}

\frac{d}{d x} (2 x (3 x - 2)^{4})

\int \frac{t ^{5}}{t ^{6} + 1} d t

\frac{d}{d x} (tan (\frac{x}{y}))

n = 1 \sum \infty \frac{2}{4 ^{2 n}}

h \to 0 lim (\frac{( \frac{7}{x + h} - \frac{7}{x} )}{h})

What is the derivative of (x+1770)/(30(x+2)) ?
The derivative of (x+1770)/(30(x+2)) is -(884)/(15(x+2)^2)
What is the first derivative of (x+1770)/(30(x+2)) ?
The first derivative of (x+1770)/(30(x+2)) is -(884)/(15(x+2)^2)