What is the derivative of tan({g}(x)(x)) ?

The derivative of tan({g}(x)(x)) is xsec^2({g}(x)) derivative of {g}(x)+tan({g}(x))

What is the first derivative of tan({g}(x)(x)) ?

The first derivative of tan({g}(x)(x)) is xsec^2({g}(x)) derivative of {g}(x)+tan({g}(x))

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

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

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

= sec^{2} (g (x)) \frac{d}{d x} (g (x)) x + 1 \cdot tan (g (x))

Simplify

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

x \to 4 lim (x^{2} + 3 x - 1)

x \to 0 lim (∣ 0 ∣)

(x^{2} e^{4 x})^{^{'}}

x \to 0 lim (\frac{x - 3}{2 x - 3})

\frac{\partial}{\partial z} (z sin (x y^{2} + 2 z))

What is the derivative of tan({g}(x)(x)) ?
The derivative of tan({g}(x)(x)) is xsec^2({g}(x)) derivative of {g}(x)+tan({g}(x))
What is the first derivative of tan({g}(x)(x)) ?
The first derivative of tan({g}(x)(x)) is xsec^2({g}(x)) derivative of {g}(x)+tan({g}(x))