What is the derivative of sqrt(1-121x^2)arccos(11x) ?

The derivative of sqrt(1-121x^2)arccos(11x) is -(121xarccos(11x))/(sqrt(1-121x^2))-11

What is the first derivative of sqrt(1-121x^2)arccos(11x) ?

The first derivative of sqrt(1-121x^2)arccos(11x) is -(121xarccos(11x))/(sqrt(1-121x^2))-11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (1 - 121 x^{2} arccos (11 x))

- \frac{121 x arccos ( 11 x )}{1 - 121 x ^{2}} - 11

Solution steps

\frac{d}{d x} (1 - 121 x^{2} arccos (11 x))

Apply the Product Rule:

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

f = 1 - 121 x^{2}, g = arccos (11 x)

= \frac{d}{d x} (1 - 121 x^{2}) arccos (11 x) + \frac{d}{d x} (arccos (11 x)) 1 - 121 x^{2}

\frac{d}{d x} (1 - 121 x^{2}) = - \frac{121 x}{1 - 121 x ^{2}}

\frac{d}{d x} (arccos (11 x)) = - \frac{11}{1 - 121 x ^{2}}

= (- \frac{121 x}{1 - 121 x ^{2}}) arccos (11 x) + (- \frac{11}{1 - 121 x ^{2}}) 1 - 121 x^{2}

Simplify

(- \frac{121 x}{1 - 121 x ^{2}}) arccos (11 x) + (- \frac{11}{1 - 121 x ^{2}}) 1 - 121 x^{2} : - \frac{121 x arccos ( 11 x )}{1 - 121 x ^{2}} - 11

= - \frac{121 x arccos ( 11 x )}{1 - 121 x ^{2}} - 11

\frac{s}{s ^{2} + 64}

\int (x^{3} - 4 x - 6) d x

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

\int \frac{7 x ^{2}}{( 9 + x ^{2} ) ^{2}} d x

\int_{0}^{1} 16 sin^{4} (x) d x

What is the derivative of sqrt(1-121x^2)arccos(11x) ?
The derivative of sqrt(1-121x^2)arccos(11x) is -(121xarccos(11x))/(sqrt(1-121x^2))-11
What is the first derivative of sqrt(1-121x^2)arccos(11x) ?
The first derivative of sqrt(1-121x^2)arccos(11x) is -(121xarccos(11x))/(sqrt(1-121x^2))-11