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

The derivative of-sin(x)-2sec^2(x)tan(x) is -cos(x)+4sec^2(x)-6sec^4(x)

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

The first derivative of-sin(x)-2sec^2(x)tan(x) is -cos(x)+4sec^2(x)-6sec^4(x)

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derivative of

- sin (x) - 2 sec^{2} (x) tan (x)

- cos (x) + 4 sec^{2} (x) - 6 sec^{4} (x)

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (2 sec^{2} (x) tan (x)) = - 4 sec^{2} (x) + 6 sec^{4} (x)

= - cos (x) - (- 4 sec^{2} (x) + 6 sec^{4} (x))

Simplify

= - cos (x) + 4 sec^{2} (x) - 6 sec^{4} (x)

\int \frac{1}{7 x ^{5}} d x

y^{^{'}} + 2 x y = x e^{- x^{2}}, y (0) = 1

\int \frac{1}{9 x ^{2} + 1} d x

\int (4 x - 7) d x

\frac{d}{d x} (\frac{10 x}{1 - x})

What is the derivative of-sin(x)-2sec^2(x)tan(x) ?
The derivative of-sin(x)-2sec^2(x)tan(x) is -cos(x)+4sec^2(x)-6sec^4(x)
What is the first derivative of-sin(x)-2sec^2(x)tan(x) ?
The first derivative of-sin(x)-2sec^2(x)tan(x) is -cos(x)+4sec^2(x)-6sec^4(x)