What is the derivative of (tan(x))/((x+3)) ?

The derivative of (tan(x))/((x+3)) is (sec^2(x)(x+3)-tan(x))/((x+3)^2)

What is the first derivative of (tan(x))/((x+3)) ?

The first derivative of (tan(x))/((x+3)) is (sec^2(x)(x+3)-tan(x))/((x+3)^2)

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derivative of

\frac{tan ( x )}{( x + 3 )}

\frac{sec ^{2} ( x ) ( x + 3 ) - tan ( x )}{( x + 3 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{tan ( x )}{x + 3})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( tan ( x ) ) ( x + 3 ) - \frac{d}{d x} ( x + 3 ) tan ( x )}{( x + 3 ) ^{2}}

\frac{d}{d x} (tan (x)) = sec^{2} (x)

\frac{d}{d x} (x + 3) = 1

= \frac{sec ^{2} ( x ) ( x + 3 ) - 1 \cdot tan ( x )}{( x + 3 ) ^{2}}

Simplify

= \frac{sec ^{2} ( x ) ( x + 3 ) - tan ( x )}{( x + 3 ) ^{2}}

\frac{d}{d x} (5 cos (x) + ln (x))

100 + 5 q^{2}

\frac{d}{d j} (12 i - 19 j)

(\frac{1}{1 + x})^{- 1}

y = 4 sec (2 x)

What is the derivative of (tan(x))/((x+3)) ?
The derivative of (tan(x))/((x+3)) is (sec^2(x)(x+3)-tan(x))/((x+3)^2)
What is the first derivative of (tan(x))/((x+3)) ?
The first derivative of (tan(x))/((x+3)) is (sec^2(x)(x+3)-tan(x))/((x+3)^2)