What is the derivative of (4x+cos(2))^{55} ?

The derivative of (4x+cos(2))^{55} is 220(4x+cos(2))^{54}

What is the first derivative of (4x+cos(2))^{55} ?

The first derivative of (4x+cos(2))^{55} is 220(4x+cos(2))^{54}

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derivative of

(4 x + cos (2))^{55}

220 (4 x + cos (2))^{54}

Solution steps

\frac{d}{d x} ((4 x + cos (2))^{55})

Apply the chain rule:

55 (4 x + cos (2))^{54} \frac{d}{d x} (4 x + cos (2))

= 55 (4 x + cos (2))^{54} \frac{d}{d x} (4 x + cos (2))

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

= 55 (4 x + cos (2))^{54} \cdot 4

Simplify

= 220 (4 x + cos (2))^{54}

What is the derivative of (4x+cos(2))^{55} ?
The derivative of (4x+cos(2))^{55} is 220(4x+cos(2))^{54}
What is the first derivative of (4x+cos(2))^{55} ?
The first derivative of (4x+cos(2))^{55} is 220(4x+cos(2))^{54}