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Popular >

derivative of (3x^4-1(x-1))

Solution

\frac{d}{d x} ((3 x^{4} - 1) (x - 1))

Solution

15 x^{4} - 12 x^{3} - 1

Solution steps

\frac{d}{d x} ((3 x^{4} - 1) (x - 1))

Apply the Product Rule:

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

f = 3 x^{4} - 1, g = x - 1

= \frac{d}{d x} (3 x^{4} - 1) (x - 1) + \frac{d}{d x} (x - 1) (3 x^{4} - 1)

\frac{d}{d x} (3 x^{4} - 1) = 12 x^{3}

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

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

Simplify

12 x^{3} (x - 1) + 1 \cdot (3 x^{4} - 1) : 15 x^{4} - 12 x^{3} - 1

= 15 x^{4} - 12 x^{3} - 1

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\frac{\partial}{\partial x} (x y e^{x - 3 z})

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Frequently Asked Questions (FAQ)

What is the derivative of (3x^4-1(x-1)) ?
The derivative of (3x^4-1(x-1)) is 15x^4-12x^3-1
What is the first derivative of (3x^4-1(x-1)) ?
The first derivative of (3x^4-1(x-1)) is 15x^4-12x^3-1