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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derivative of

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}

d er i v a t i v e x \cdot sin (3 y) + x \cdot e^{\frac{y}{x}}

d er i v a t i v e y = \frac{x + 2}{x ^{2}}

d er i v a t i v e \frac{1}{( s + 3 ) ^{2}}

d er i v a t i v e 2 x^{3} - 24 x^{1} - 35

d er i v a t i v e 4 x^{3} + 5

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