What is the derivative of 2+0.45sin((2pix)/(4.5)) ?

The derivative of 2+0.45sin((2pix)/(4.5)) is 0.62831…cos(1.39626…x)

What is the first derivative of 2+0.45sin((2pix)/(4.5)) ?

The first derivative of 2+0.45sin((2pix)/(4.5)) is 0.62831…cos(1.39626…x)

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derivative of

2 + 0.45 sin (\frac{2 π x}{4.5})

0.62831 \dots cos (1.39626 \dots x)

Solution steps

\frac{d}{d x} (2 + 0.45 sin (\frac{2 π x}{4.5}))

Simplify

2 + 0.45 sin (\frac{2 π x}{4.5}) : 2 + 0.45 sin (1.39626 \dots x)

= \frac{d}{d x} (2 + 0.45 sin (1.39626 \dots x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (2) + \frac{d}{d x} (0.45 sin (1.39626 \dots x))

\frac{d}{d x} (2) = 0

\frac{d}{d x} (0.45 sin (1.39626 \dots x)) = 0.62831 \dots cos (1.39626 \dots x)

= 0 + 0.62831 \dots cos (1.39626 \dots x)

Simplify

= 0.62831 \dots cos (1.39626 \dots x)

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What is the derivative of 2+0.45sin((2pix)/(4.5)) ?
The derivative of 2+0.45sin((2pix)/(4.5)) is 0.62831…cos(1.39626…x)
What is the first derivative of 2+0.45sin((2pix)/(4.5)) ?
The first derivative of 2+0.45sin((2pix)/(4.5)) is 0.62831…cos(1.39626…x)