What is the first derivative of xt ?

The first derivative of xt is t

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derivative of xt

\frac{d}{d x} (x t)

t

Solution steps

\frac{d}{d x} (x t)

Treat

t

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= t \frac{d x}{d x}

Apply the common derivative:

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

= t \cdot 1

Simplify

= t

x \to - 2 - lim (\frac{1}{x - 2})

\frac{d}{d x} ((3 x^{4} - 4) (3 - 2 x^{3}))

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

y = x cos (x) sin (x)

\frac{\partial}{\partial y} (4 y (\frac{1}{x} - ln (x)))