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

The derivative of f(x)=(3x-4)2(x-2) is 2(6x-10)

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

The first derivative of f(x)=(3x-4)2(x-2) is 2(6x-10)

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derivative of

f (x) = (3 x - 4) 2 (x - 2)

2 (6 x - 10)

Solution steps

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

Take the constant out:

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

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

Apply the Product Rule:

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

f = 3 x - 4, g = x - 2

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

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

\frac{d}{d x} (x - 2) = 1

= 2 (3 (x - 2) + 1 \cdot (3 x - 4))

Simplify

2 (3 (x - 2) + 1 \cdot (3 x - 4)) : 2 (6 x - 10)

= 2 (6 x - 10)

- t^{2} + 4 t + 4

\frac{d}{d x} ((i) \cdot (x^{- 5})^{5})

e^{2 x - y + z}

\frac{d}{d a} (\frac{a}{18})

e^{s} in x + x (tan (x))^{2}

What is the derivative of f(x)=(3x-4)2(x-2) ?
The derivative of f(x)=(3x-4)2(x-2) is 2(6x-10)
What is the first derivative of f(x)=(3x-4)2(x-2) ?
The first derivative of f(x)=(3x-4)2(x-2) is 2(6x-10)