What is the derivative of f(x)=cos(a^4+x^4) ?

The derivative of f(x)=cos(a^4+x^4) is -sin(a^4+x^4)*4x^3

What is the first derivative of f(x)=cos(a^4+x^4) ?

The first derivative of f(x)=cos(a^4+x^4) is -sin(a^4+x^4)*4x^3

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derivative of

f (x) = cos (a^{4} + x^{4})

- sin (a^{4} + x^{4}) \cdot 4 x^{3}

Solution steps

\frac{d}{d x} (cos (a^{4} + x^{4}))

Apply the chain rule:

- sin (a^{4} + x^{4}) \frac{d}{d x} (a^{4} + x^{4})

= - sin (a^{4} + x^{4}) \frac{d}{d x} (a^{4} + x^{4})

\frac{d}{d x} (a^{4} + x^{4}) = 4 x^{3}

= - sin (a^{4} + x^{4}) \cdot 4 x^{3}

\int cos (x) (sin^{2} (x)) d x

\int (sin (t))^{2} d t

\frac{\partial}{\partial x} (e^{2 x} + e^{- 2 x})

x \to 0 lim (\frac{3 ^{x} - 1}{x})

f (x) = \frac{- 4 x ^{2} + 3 x - 7}{2 x ^{2} - 10 x - 3}

What is the derivative of f(x)=cos(a^4+x^4) ?
The derivative of f(x)=cos(a^4+x^4) is -sin(a^4+x^4)*4x^3
What is the first derivative of f(x)=cos(a^4+x^4) ?
The first derivative of f(x)=cos(a^4+x^4) is -sin(a^4+x^4)*4x^3