What is the derivative of xsin(tan(x)) ?

The derivative of xsin(tan(x)) is sin(tan(x))+xsec^2(x)cos(tan(x))

What is the first derivative of xsin(tan(x)) ?

The first derivative of xsin(tan(x)) is sin(tan(x))+xsec^2(x)cos(tan(x))

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

sin (tan (x)) + x sec^{2} (x) cos (tan (x))

Solution steps

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

Apply the Product Rule:

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

f = x, g = sin (tan (x))

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

\frac{d x}{d x} = 1

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

= 1 \cdot sin (tan (x)) + cos (tan (x)) sec^{2} (x) x

Simplify

= sin (tan (x)) + x sec^{2} (x) cos (tan (x))

y = 3 x^{2} + 2 x^{2} + 1, (- 1, 0)

x \to 2 lim (x^{2} + 2 x + 1)

x \to \infty lim (x + x + x)

\int 6 x^{5} - 2 x^{4} - 9 x^{2} d x

4 x^{2} - 3 x - 5

What is the derivative of xsin(tan(x)) ?
The derivative of xsin(tan(x)) is sin(tan(x))+xsec^2(x)cos(tan(x))
What is the first derivative of xsin(tan(x)) ?
The first derivative of xsin(tan(x)) is sin(tan(x))+xsec^2(x)cos(tan(x))