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Popular >

derivative of ({f}(x)(6x^3-5))

Solution

\frac{d}{d x} ((f (x)) (6 x^{3} - 5))

Solution

\frac{d}{d x} (f (x)) (6 x^{3} - 5) + 18 x^{2} f (x)

Solution steps

\frac{d}{d x} ((f (x)) (6 x^{3} - 5))

Apply the Product Rule:

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

f = f (x), g = 6 x^{3} - 5

= \frac{d}{d x} (f (x)) (6 x^{3} - 5) + \frac{d}{d x} (6 x^{3} - 5) f (x)

\frac{d}{d x} (6 x^{3} - 5) = 18 x^{2}

= \frac{d}{d x} (f (x)) (6 x^{3} - 5) + 18 x^{2} f (x)

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Frequently Asked Questions (FAQ)

What is the derivative of ({f}(x)(6x^3-5)) ?
The derivative of ({f}(x)(6x^3-5)) is derivative of {f}(x)(6x^3-5)+18x^2{f}(x)
What is the first derivative of ({f}(x)(6x^3-5)) ?
The first derivative of ({f}(x)(6x^3-5)) is derivative of {f}(x)(6x^3-5)+18x^2{f}(x)