What is the derivative of sec(xy) ?

The derivative of sec(xy) is sec(x)tan(x)y+(dy)/(dx)sec(x)

What is the first derivative of sec(xy) ?

The first derivative of sec(xy) is sec(x)tan(x)y+(dy)/(dx)sec(x)

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\frac{d}{d x} (sec (x) y)

sec (x) tan (x) y + \frac{d y}{d x} sec (x)

Solution steps

\frac{d}{d x} (sec (x) y)

Apply the Product Rule:

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

f = sec (x), g = y

= \frac{d}{d x} (sec (x)) y + \frac{d y}{d x} sec (x)

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

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

\frac{d y}{d t} = y - 5

\int (5 x^{2} + 4)^{3} d x

x \to - 2 lim (3 - 4 x)

(x, y) \to (0, 0) lim (\frac{v}{u})

y^{^{''}} - y^{^{'}} + y = 2 sin (3 x)

What is the derivative of sec(xy) ?
The derivative of sec(xy) is sec(x)tan(x)y+(dy)/(dx)sec(x)
What is the first derivative of sec(xy) ?
The first derivative of sec(xy) is sec(x)tan(x)y+(dy)/(dx)sec(x)