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

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

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

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

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derivative of

y = x^{5} + cos^{5} (x)

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

x \to 90 + lim (tan (x))

\frac{d y}{d x} + (\frac{5}{x}) y = - x + 5

\frac{x}{( 2 x + 3 )}

f (x) 3 x^{4} (x^{2} - 2 x)

\frac{\partial}{\partial x} (\frac{2}{3} (x^{2} + 1)^{\frac{3}{2}})

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