What is the derivative of (((2x+5)^7))/(14) ?

The derivative of (((2x+5)^7))/(14) is (2x+5)^6

What is the first derivative of (((2x+5)^7))/(14) ?

The first derivative of (((2x+5)^7))/(14) is (2x+5)^6

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derivative of

\frac{( ( 2 x + 5 ) ^{7} )}{14}

(2 x + 5)^{6}

Solution steps

\frac{d}{d x} (\frac{( 2 x + 5 ) ^{7}}{14})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{14} \frac{d}{d x} ((2 x + 5)^{7})

Apply the chain rule:

7 (2 x + 5)^{6} \frac{d}{d x} (2 x + 5)

= 7 (2 x + 5)^{6} \frac{d}{d x} (2 x + 5)

\frac{d}{d x} (2 x + 5) = 2

= \frac{1}{14} \cdot 7 (2 x + 5)^{6} \cdot 2

Simplify

\frac{1}{14} \cdot 7 (2 x + 5)^{6} \cdot 2 : (2 x + 5)^{6}

= (2 x + 5)^{6}

What is the derivative of (((2x+5)^7))/(14) ?
The derivative of (((2x+5)^7))/(14) is (2x+5)^6
What is the first derivative of (((2x+5)^7))/(14) ?
The first derivative of (((2x+5)^7))/(14) is (2x+5)^6