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

The derivative of x^2sec(x) is 2xsec(x)+sec(x)tan(x)x^2

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

The first derivative of x^2sec(x) is 2xsec(x)+sec(x)tan(x)x^2

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

2 x sec (x) + sec (x) tan (x) x^{2}

Solution steps

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

Apply the Product Rule:

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

f = x^{2}, g = sec (x)

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

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

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

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

\frac{d}{d x} (e^{\frac{2}{3} x})

\int y e^{y x} d x

\int \frac{4}{u} d u

x \to \infty lim (k^{x} c)

\int e^{5 x^{5}} d x

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