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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\frac{d}{d x} (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} ((\frac{x + 1}{x - 1})^{7})

\frac{\partial}{\partial x} (ln (x y^{2} z^{3}))

\frac{d}{d x} (7 cos (3 x))

y (θ) = 4 sin (θ) - 3 cos (θ)

\int \frac{x ^{2}}{( 1 - x ^{2} ) ^{\frac{1}{2}}} d 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