What is the derivative of 6+sec(x)sin(x) ?

The derivative of 6+sec(x)sin(x) is sec^2(x)

What is the first derivative of 6+sec(x)sin(x) ?

The first derivative of 6+sec(x)sin(x) is sec^2(x)

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derivative of

6 + sec (x) sin (x)

sec^{2} (x)

Solution steps

\frac{d}{d x} (6 + sec (x) sin (x))

Simplify

6 + sec (x) sin (x) : 6 + tan (x)

= \frac{d}{d x} (6 + tan (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6) + \frac{d}{d x} (tan (x))

\frac{d}{d x} (6) = 0

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

= 0 + sec^{2} (x)

Simplify

= sec^{2} (x)

2 x^{2} + 2 x

n = 1 \sum \infty \frac{2 ^{n}}{n + 1}

\frac{x}{x ^{- 1} + 13}

\int 6 x 1 + 3 x^{2} d x

\frac{d}{d x} (\frac{7}{e ^{x}})

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