What is the derivative of 55cos(0.03x-1.11)+86 ?

The derivative of 55cos(0.03x-1.11)+86 is 55(0.02687…cos(0.03x)-0.01333…sin(0.03x))

What is the first derivative of 55cos(0.03x-1.11)+86 ?

The first derivative of 55cos(0.03x-1.11)+86 is 55(0.02687…cos(0.03x)-0.01333…sin(0.03x))

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derivative of

55 cos (0.03 x - 1.11) + 86

55 (0.02687 \dots cos (0.03 x) - 0.01333 \dots sin (0.03 x))

Solution steps

\frac{d}{d x} (55 cos (0.03 x - 1.11) + 86)

Simplify

55 cos (0.03 x - 1.11) + 86 : 55 (0.44466 \dots cos (0.03 x) + 0.89569 \dots sin (0.03 x)) + 86

= \frac{d}{d x} (55 (0.44466 \dots cos (0.03 x) + 0.89569 \dots sin (0.03 x)) + 86)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (55 (0.44466 \dots cos (0.03 x) + 0.89569 \dots sin (0.03 x))) + \frac{d}{d x} (86)

\frac{d}{d x} (55 (0.44466 \dots cos (0.03 x) + 0.89569 \dots sin (0.03 x))) = 55 (- 0.01333 \dots sin (0.03 x) + 0.02687 \dots cos (0.03 x))

\frac{d}{d x} (86) = 0

= 55 (- 0.01333 \dots sin (0.03 x) + 0.02687 \dots cos (0.03 x)) + 0

Simplify

= 55 (0.02687 \dots cos (0.03 x) - 0.01333 \dots sin (0.03 x))

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\int_{\frac{1}{2}}^{1} (x^{- 3} - 10) d x

\frac{d}{d x} (5 sin (x) + 6 cos (x))

What is the derivative of 55cos(0.03x-1.11)+86 ?
The derivative of 55cos(0.03x-1.11)+86 is 55(0.02687…cos(0.03x)-0.01333…sin(0.03x))
What is the first derivative of 55cos(0.03x-1.11)+86 ?
The first derivative of 55cos(0.03x-1.11)+86 is 55(0.02687…cos(0.03x)-0.01333…sin(0.03x))