What is the derivative of f(x)=cos(a^7+x^7) ?

The derivative of f(x)=cos(a^7+x^7) is -sin(a^7+x^7)*7x^6

What is the first derivative of f(x)=cos(a^7+x^7) ?

The first derivative of f(x)=cos(a^7+x^7) is -sin(a^7+x^7)*7x^6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = cos (a^{7} + x^{7})

- sin (a^{7} + x^{7}) \cdot 7 x^{6}

Solution steps

\frac{d}{d x} (cos (a^{7} + x^{7}))

Apply the chain rule:

- sin (a^{7} + x^{7}) \frac{d}{d x} (a^{7} + x^{7})

= - sin (a^{7} + x^{7}) \frac{d}{d x} (a^{7} + x^{7})

\frac{d}{d x} (a^{7} + x^{7}) = 7 x^{6}

= - sin (a^{7} + x^{7}) \cdot 7 x^{6}

\int \frac{x}{1000} x^{2} + 2500 d x

\frac{d}{d x} ((x - 5) \cdot ln (\frac{x}{5}))

\frac{d}{d x} (- \frac{375}{x ^{4}})

\int_{- 2}^{3} x^{2} - x - 6 d x

300 x - \frac{1}{2} x^{2}

What is the derivative of f(x)=cos(a^7+x^7) ?
The derivative of f(x)=cos(a^7+x^7) is -sin(a^7+x^7)*7x^6
What is the first derivative of f(x)=cos(a^7+x^7) ?
The first derivative of f(x)=cos(a^7+x^7) is -sin(a^7+x^7)*7x^6