What is the derivative of sqrt(x)+(x-6)^6 ?

The derivative of sqrt(x)+(x-6)^6 is 1/(2sqrt(x))+6(x-6)^5

What is the first derivative of sqrt(x)+(x-6)^6 ?

The first derivative of sqrt(x)+(x-6)^6 is 1/(2sqrt(x))+6(x-6)^5

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derivative of

x + (x - 6)^{6}

\frac{1}{2 x} + 6 (x - 6)^{5}

Solution steps

\frac{d}{d x} (x + (x - 6)^{6})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x) + \frac{d}{d x} ((x - 6)^{6})

\frac{d}{d x} (x) = \frac{1}{2 x}

\frac{d}{d x} ((x - 6)^{6}) = 6 (x - 6)^{5}

= \frac{1}{2 x} + 6 (x - 6)^{5}

\int x (x - 1) d x

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

x \to \frac{π}{3} lim (cot (3 x))

\frac{\partial}{\partial x} (x^{2} e^{5 x y})

\frac{d}{d x} (- ln (1 + 6 x))

What is the derivative of sqrt(x)+(x-6)^6 ?
The derivative of sqrt(x)+(x-6)^6 is 1/(2sqrt(x))+6(x-6)^5
What is the first derivative of sqrt(x)+(x-6)^6 ?
The first derivative of sqrt(x)+(x-6)^6 is 1/(2sqrt(x))+6(x-6)^5