What is the derivative of cos(xln(tan(x))) ?

The derivative of cos(xln(tan(x))) is -sin(x)ln(tan(x))+2csc(2x)cos(x)

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

The first derivative of cos(xln(tan(x))) is -sin(x)ln(tan(x))+2csc(2x)cos(x)

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Popular >

\frac{d}{d x} (cos (x) ln (tan (x)))

- sin (x) ln (tan (x)) + 2 csc (2 x) cos (x)

Solution steps

\frac{d}{d x} (cos (x) ln (tan (x)))

Apply the Product Rule:

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

f = cos (x), g = ln (tan (x))

= \frac{d}{d x} (cos (x)) ln (tan (x)) + \frac{d}{d x} (ln (tan (x))) cos (x)

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

\frac{d}{d x} (ln (tan (x))) = 2 csc (2 x)

= (- sin (x)) ln (tan (x)) + 2 csc (2 x) cos (x)

Simplify

= - sin (x) ln (tan (x)) + 2 csc (2 x) cos (x)

(- 2, - 2), (2, - 5)

\int (x + 1) 2 - x d x

7 sin (x), \frac{π}{4}

x d y - y d x + (y^{2} - 1) d y = 0

\frac{d}{d x} ((sin (x) + cos (x))^{2})

What is the derivative of cos(xln(tan(x))) ?
The derivative of cos(xln(tan(x))) is -sin(x)ln(tan(x))+2csc(2x)cos(x)
What is the first derivative of cos(xln(tan(x))) ?
The first derivative of cos(xln(tan(x))) is -sin(x)ln(tan(x))+2csc(2x)cos(x)