What is the derivative of 14(2x+5^6) ?

The derivative of 14(2x+5^6) is 168(2x+5)^5

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

The first derivative of 14(2x+5^6) is 168(2x+5)^5

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\frac{d}{d x} (14 (2 x + 5)^{6})

168 (2 x + 5)^{5}

Solution steps

\frac{d}{d x} (14 (2 x + 5)^{6})

Take the constant out:

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

= 14 \frac{d}{d x} ((2 x + 5)^{6})

Apply the chain rule:

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

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

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

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

Simplify

= 168 (2 x + 5)^{5}

x \to 2 - lim (\frac{4 x}{x - 2})

\int (x^{2} sin (x)) d x

x \to - 8 + lim (\frac{∣ x + 8 ∣}{x + 8})

tan (e^{x})

f (x) = 3 x^{2} - 3

What is the derivative of 14(2x+5^6) ?
The derivative of 14(2x+5^6) is 168(2x+5)^5
What is the first derivative of 14(2x+5^6) ?
The first derivative of 14(2x+5^6) is 168(2x+5)^5