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

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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}

\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

x \to 6 lim (x + 2)

d er i v a t i v e (343 + x)^{- \frac{1}{3}}

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