What is the derivative of cos(x+x^5) ?

The derivative of cos(x+x^5) is -sin(x)+5x^4

What is the first derivative of cos(x+x^5) ?

The first derivative of cos(x+x^5) is -sin(x)+5x^4

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\frac{d}{d x} (cos (x) + x^{5})

- sin (x) + 5 x^{4}

Solution steps

\frac{d}{d x} (cos (x) + x^{5})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (cos (x)) + \frac{d}{d x} (x^{5})

\frac{d}{d x} (cos (x)) = - sin (x)

\frac{d}{d x} (x^{5}) = 5 x^{4}

= - sin (x) + 5 x^{4}

What is the derivative of cos(x+x^5) ?
The derivative of cos(x+x^5) is -sin(x)+5x^4
What is the first derivative of cos(x+x^5) ?
The first derivative of cos(x+x^5) is -sin(x)+5x^4