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

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

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

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

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\frac{d}{d x} (tan (x) - sin (x))

sec^{2} (x) - cos (x)

Solution steps

\frac{d}{d x} (tan (x) - sin (x))

Apply the Sum/Difference Rule:

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

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

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

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

= sec^{2} (x) - cos (x)

h (x) = - 6 x^{- 2}

\frac{2}{( 1 - x ) ^{3}}

\int \frac{3 r ^{2}}{r + 7} d r

\frac{s}{s ^{2} - 2 s - 3}

y = 4 + 9 x

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