What is the derivative of ({f}(x)(12x^5-4x+3)) ?

The derivative of ({f}(x)(12x^5-4x+3)) is derivative of {f}(x)(12x^5-4x+3)+(60x^4-4){f}(x)

What is the first derivative of ({f}(x)(12x^5-4x+3)) ?

The first derivative of ({f}(x)(12x^5-4x+3)) is derivative of {f}(x)(12x^5-4x+3)+(60x^4-4){f}(x)

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\frac{d}{d x} ((f (x)) (12 x^{5} - 4 x + 3))

\frac{d}{d x} (f (x)) (12 x^{5} - 4 x + 3) + (60 x^{4} - 4) f (x)

Solution steps

\frac{d}{d x} ((f (x)) (12 x^{5} - 4 x + 3))

Apply the Product Rule:

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

f = f (x), g = 12 x^{5} - 4 x + 3

= \frac{d}{d x} (f (x)) (12 x^{5} - 4 x + 3) + \frac{d}{d x} (12 x^{5} - 4 x + 3) f (x)

\frac{d}{d x} (12 x^{5} - 4 x + 3) = 60 x^{4} - 4

= \frac{d}{d x} (f (x)) (12 x^{5} - 4 x + 3) + (60 x^{4} - 4) f (x)

\frac{( 8 x ^{10} - 1 ) ^{8}}{65536 x ^{48}}

e^{- 4 t - 8} h (t - 2)

sin (3 (180 - θ))

\frac{\partial}{\partial y} ((z) (x^{2} - 3 x y + y^{2}))

What is the derivative of ({f}(x)(12x^5-4x+3)) ?
The derivative of ({f}(x)(12x^5-4x+3)) is derivative of {f}(x)(12x^5-4x+3)+(60x^4-4){f}(x)
What is the first derivative of ({f}(x)(12x^5-4x+3)) ?
The first derivative of ({f}(x)(12x^5-4x+3)) is derivative of {f}(x)(12x^5-4x+3)+(60x^4-4){f}(x)