What is the derivative of cos(x-6tan(x)) ?

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

What is the first derivative of cos(x-6tan(x)) ?

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

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\frac{d}{d x} (cos (x) - 6 tan (x))

- sin (x) - 6 sec^{2} (x)

Solution steps

\frac{d}{d x} (cos (x) - 6 tan (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (cos (x)) - \frac{d}{d x} (6 tan (x))

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

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

= - sin (x) - 6 sec^{2} (x)

\frac{d}{d x} (\frac{3 x ^{2} + 9}{6 x})

f (x) = \frac{x + 1}{x ^{2} + 1}

e^{5 x}

\int_{0}^{1} \frac{1}{x ^{2}} d x

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

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