What is the derivative of (x^2/(1+2tan(x))) ?

The derivative of (x^2/(1+2tan(x))) is (2x(1+2tan(x))-2sec^2(x)x^2)/((1+2tan(x))^2)

What is the first derivative of (x^2/(1+2tan(x))) ?

The first derivative of (x^2/(1+2tan(x))) is (2x(1+2tan(x))-2sec^2(x)x^2)/((1+2tan(x))^2)

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\frac{d}{d x} (\frac{x ^{2}}{1 + 2 tan ( x )})

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

Solution steps

\frac{d}{d x} (\frac{x ^{2}}{1 + 2 tan ( x )})

Apply the Quotient Rule:

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

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

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

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

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

\frac{\partial}{\partial x} (\frac{x - y}{3 x y + 2})

\int \frac{2 + ln ( x )}{x ln ( x )} d x

y = 3 x^{2} + 3 x

\int_{2}^{\infty} \frac{9}{x ^{2}} d x

\int 5 x ln (x^{3}) d x

What is the derivative of (x^2/(1+2tan(x))) ?
The derivative of (x^2/(1+2tan(x))) is (2x(1+2tan(x))-2sec^2(x)x^2)/((1+2tan(x))^2)
What is the first derivative of (x^2/(1+2tan(x))) ?
The first derivative of (x^2/(1+2tan(x))) is (2x(1+2tan(x))-2sec^2(x)x^2)/((1+2tan(x))^2)