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

The derivative of ((2x^2tan(x)))/(sec(x)) is 2(x^2cos(x)+2xsin(x))

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

The first derivative of ((2x^2tan(x)))/(sec(x)) is 2(x^2cos(x)+2xsin(x))

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derivative of

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

2 (x^{2} cos (x) + 2 x sin (x))

Solution steps

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

Simplify

\frac{2 x ^{2} tan ( x )}{sec ( x )} : 2 x^{2} tan (x) cos (x)

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

Take the constant out:

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

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2}, g = tan (x) cos (x)

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

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

\frac{d}{d x} (tan (x) cos (x)) = cos (x)

= 2 (2 x tan (x) cos (x) + cos (x) x^{2})

cos (x) tan (x) = sin (x)

= 2 (x^{2} cos (x) + 2 x sin (x))

f (x) = \frac{ln ( x )}{1 + x}

x \to 0 lim (e^{x} cos (2 x))

\int (\frac{3 x ( e ^{- 2 x} - 7 x )}{5}) d x

x \to \infty lim ((\frac{1}{x})^{\frac{1}{x} + 1})

\int_{2}^{e^{3}} \frac{1}{x} d x

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