What is the derivative of 1/6 (x-1(x+5)^5+10) ?

The derivative of 1/6 (x-1(x+5)^5+10) is x(x+5)^4

What is the first derivative of 1/6 (x-1(x+5)^5+10) ?

The first derivative of 1/6 (x-1(x+5)^5+10) is x(x+5)^4

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\frac{d}{d x} (\frac{1}{6} (x - 1) (x + 5)^{5} + 10)

x (x + 5)^{4}

Solution steps

\frac{d}{d x} (\frac{1}{6} (x - 1) (x + 5)^{5} + 10)

Simplify

\frac{1}{6} (x - 1) (x + 5)^{5} + 10 : \frac{( x + 5 ) ^{5} ( x - 1 )}{6} + 10

= \frac{d}{d x} (\frac{( x + 5 ) ^{5} ( x - 1 )}{6} + 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{( x + 5 ) ^{5} ( x - 1 )}{6}) + \frac{d}{d x} (10)

\frac{d}{d x} (\frac{( x + 5 ) ^{5} ( x - 1 )}{6}) = x (x + 5)^{4}

\frac{d}{d x} (10) = 0

= x (x + 5)^{4} + 0

Simplify

= x (x + 5)^{4}

y = 9 x^{2} + 9 x - 3

f (x) = sin (1 + cos (x))

\int_{0}^{1} \frac{14}{4 y - 1} d y

\frac{d}{d p} (ln (p))

\int x x - 3 d x

What is the derivative of 1/6 (x-1(x+5)^5+10) ?
The derivative of 1/6 (x-1(x+5)^5+10) is x(x+5)^4
What is the first derivative of 1/6 (x-1(x+5)^5+10) ?
The first derivative of 1/6 (x-1(x+5)^5+10) is x(x+5)^4