What is the derivative of 2x(3x-2^4) ?

The derivative of 2x(3x-2^4) is 2((3x-2)^4+12x(3x-2)^3)

What is the first derivative of 2x(3x-2^4) ?

The first derivative of 2x(3x-2^4) is 2((3x-2)^4+12x(3x-2)^3)

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

2 ((3 x - 2)^{4} + 12 x (3 x - 2)^{3})

Solution steps

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

Take the constant out:

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

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

Apply the Product Rule:

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

f = x, g = (3 x - 2)^{4}

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

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

\frac{d}{d x} ((3 x - 2)^{4}) = 12 (3 x - 2)^{3}

= 2 (1 \cdot (3 x - 2)^{4} + 12 (3 x - 2)^{3} x)

Simplify

= 2 ((3 x - 2)^{4} + 12 x (3 x - 2)^{3})

\int \frac{t ^{5}}{t ^{6} + 1} d t

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

n = 1 \sum \infty \frac{2}{4 ^{2 n}}

h \to 0 lim (\frac{( \frac{7}{x + h} - \frac{7}{x} )}{h})

x \to 1 lim (ln ∣ x - 1 ∣)

What is the derivative of 2x(3x-2^4) ?
The derivative of 2x(3x-2^4) is 2((3x-2)^4+12x(3x-2)^3)
What is the first derivative of 2x(3x-2^4) ?
The first derivative of 2x(3x-2^4) is 2((3x-2)^4+12x(3x-2)^3)