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Popular >

derivative of f(x(4x^2-2))

Solution

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

Solution

\frac{d}{d x} (f (x)) (4 x^{2} - 2) + 8 x f (x)

Solution steps

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

Apply the Product Rule:

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

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

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

\frac{d}{d x} (4 x^{2} - 2) = 8 x

= \frac{d}{d x} (f (x)) (4 x^{2} - 2) + 8 x f (x)

Popular Examples

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\frac{d}{d x} (\frac{2 x}{5 - tan ( x )})

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x \to 4 lim (\frac{6}{x - 4})

Frequently Asked Questions (FAQ)

What is the derivative of f(x(4x^2-2)) ?
The derivative of f(x(4x^2-2)) is derivative of {f}(x)(4x^2-2)+8x{f}(x)
What is the first derivative of f(x(4x^2-2)) ?
The first derivative of f(x(4x^2-2)) is derivative of {f}(x)(4x^2-2)+8x{f}(x)