What is the derivative of ({f}(x)(9x^2+11x+2)) ?

The derivative of ({f}(x)(9x^2+11x+2)) is derivative of {f}(x)(9x^2+11x+2)+(18x+11){f}(x)

What is the first derivative of ({f}(x)(9x^2+11x+2)) ?

The first derivative of ({f}(x)(9x^2+11x+2)) is derivative of {f}(x)(9x^2+11x+2)+(18x+11){f}(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} ((f (x)) (9 x^{2} + 11 x + 2))

\frac{d}{d x} (f (x)) (9 x^{2} + 11 x + 2) + (18 x + 11) f (x)

Solution steps

\frac{d}{d x} ((f (x)) (9 x^{2} + 11 x + 2))

Apply the Product Rule:

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

f = f (x), g = 9 x^{2} + 11 x + 2

= \frac{d}{d x} (f (x)) (9 x^{2} + 11 x + 2) + \frac{d}{d x} (9 x^{2} + 11 x + 2) f (x)

\frac{d}{d x} (9 x^{2} + 11 x + 2) = 18 x + 11

= \frac{d}{d x} (f (x)) (9 x^{2} + 11 x + 2) + (18 x + 11) f (x)

(4 + 32) (- 3 + 5)

(8 x^{2} - 16 x + 16) e^{x}

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

(4 x - 8) (2 x + 3)

(a sin (θ) - a)^{2}

What is the derivative of ({f}(x)(9x^2+11x+2)) ?
The derivative of ({f}(x)(9x^2+11x+2)) is derivative of {f}(x)(9x^2+11x+2)+(18x+11){f}(x)
What is the first derivative of ({f}(x)(9x^2+11x+2)) ?
The first derivative of ({f}(x)(9x^2+11x+2)) is derivative of {f}(x)(9x^2+11x+2)+(18x+11){f}(x)