What is the derivative of (t(αtx)) ?

The derivative of (t(αtx)) is t^2α

What is the first derivative of (t(αtx)) ?

The first derivative of (t(αtx)) is t^2α

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\frac{d}{d x} ((t) (α t x))

t^{2} α

Solution steps

\frac{d}{d x} ((t) (α t x))

Simplify

(t) (α t x) : t^{2} αx

= \frac{d}{d x} (t^{2} αx)

Treat

t, α

as constants

Take the constant out:

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

= t^{2} α \frac{d x}{d x}

Apply the common derivative:

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

= t^{2} α \cdot 1

Simplify

= t^{2} α

f (x) = 4 - x

a^{30} - 27

am - 2 m + an - 2 n

(x y) 6

(x y) 2

What is the derivative of (t(αtx)) ?
The derivative of (t(αtx)) is t^2α
What is the first derivative of (t(αtx)) ?
The first derivative of (t(αtx)) is t^2α