What is the derivative of x^4+5cos(x) ?

The derivative of x^4+5cos(x) is 4x^3-5sin(x)

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

The first derivative of x^4+5cos(x) is 4x^3-5sin(x)

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\frac{d}{d x} (x^{4} + 5 cos (x))

4 x^{3} - 5 sin (x)

Solution steps

\frac{d}{d x} (x^{4} + 5 cos (x))

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (5 cos (x)) = - 5 sin (x)

= 4 x^{3} - 5 sin (x)

What is the derivative of x^4+5cos(x) ?
The derivative of x^4+5cos(x) is 4x^3-5sin(x)
What is the first derivative of x^4+5cos(x) ?
The first derivative of x^4+5cos(x) is 4x^3-5sin(x)