What is the derivative of 168(2x+5)^5 ?

The derivative of 168(2x+5)^5 is 1680(2x+5)^4

What is the first derivative of 168(2x+5)^5 ?

The first derivative of 168(2x+5)^5 is 1680(2x+5)^4

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derivative of

168 (2 x + 5)^{5}

1680 (2 x + 5)^{4}

Solution steps

\frac{d}{d x} (168 (2 x + 5)^{5})

Take the constant out:

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

= 168 \frac{d}{d x} ((2 x + 5)^{5})

Apply the chain rule:

5 (2 x + 5)^{4} \frac{d}{d x} (2 x + 5)

= 5 (2 x + 5)^{4} \frac{d}{d x} (2 x + 5)

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

= 168 \cdot 5 (2 x + 5)^{4} \cdot 2

Simplify

= 1680 (2 x + 5)^{4}

\frac{d}{d x} (lo g_{7} (x^{2} - 7))

f (x) = 4 x^{4} - 3 x^{\frac{5}{2}} + 2

\frac{\partial}{\partial x} (3 e^{y} + x + x^{3} + 6)

\frac{( 3 s + 2 )}{s ^{2} + 4 s + 20}

\frac{d}{d x} (sin^{2} (x) cos (x))

What is the derivative of 168(2x+5)^5 ?
The derivative of 168(2x+5)^5 is 1680(2x+5)^4
What is the first derivative of 168(2x+5)^5 ?
The first derivative of 168(2x+5)^5 is 1680(2x+5)^4