en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of-11(4x^3-11^{13})

Solution

\frac{d}{d x} (- 11 (4 x^{3} - 11)^{13})

Solution

- 1716 x^{2} (4 x^{3} - 11)^{12}

Solution steps

\frac{d}{d x} (- 11 (4 x^{3} - 11)^{13})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 11 \frac{d}{d x} ((4 x^{3} - 11)^{13})

Apply the chain rule:

13 (4 x^{3} - 11)^{12} \frac{d}{d x} (4 x^{3} - 11)

= 13 (4 x^{3} - 11)^{12} \frac{d}{d x} (4 x^{3} - 11)

\frac{d}{d x} (4 x^{3} - 11) = 12 x^{2}

= - 11 \cdot 13 (4 x^{3} - 11)^{12} \cdot 12 x^{2}

Simplify

= - 1716 x^{2} (4 x^{3} - 11)^{12}

Popular Examples

tangent of (6x)/(x+3)tangent of

\frac{6 x}{x + 3}

(\partial)/(\partial x)(uv^2)

\frac{\partial}{\partial x} (u v^{2})

derivative of 4x-1/(x^2)

\frac{d}{d x} (4 x - \frac{1}{x ^{2}})

integral of (sinh(sqrt(x)))/(sqrt(x))

\int \frac{sinh ( x )}{x} d x

y^{^{'}} = (1 + y)^{4}

Frequently Asked Questions (FAQ)

What is the derivative of-11(4x^3-11^{13}) ?
The derivative of-11(4x^3-11^{13}) is -1716x^2(4x^3-11)^{12}
What is the first derivative of-11(4x^3-11^{13}) ?
The first derivative of-11(4x^3-11^{13}) is -1716x^2(4x^3-11)^{12}