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Popular Calculus >

derivative of x-0.8-0.2sin(x)

Solution

\frac{d}{d x} (x - 0.8 - 0.2 sin (x))

Solution

- 0.2 cos (x) + 1

Solution steps

\frac{d}{d x} (x - 0.8 - 0.2 sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} - \frac{d}{d x} (0.8) - \frac{d}{d x} (0.2 sin (x))

\frac{d x}{d x} = 1

\frac{d}{d x} (0.8) = 0

\frac{d}{d x} (0.2 sin (x)) = 0.2 cos (x)

= 1 - 0 - 0.2 cos (x)

Simplify

= - 0.2 cos (x) + 1

Graph

Popular Examples

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8 cos^{2} (y) d x + csc^{2} (x) d y = 0, y (\frac{π}{12}) = \frac{π}{4}

derivative of (a+bx+cx^2/x)

\frac{d}{d x} (\frac{a + b x + c x ^{2}}{x})

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integral of (x-1)/(x^2(x+1)^2)

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

Frequently Asked Questions (FAQ)

What is the derivative of x-0.8-0.2sin(x) ?
The derivative of x-0.8-0.2sin(x) is -0.2cos(x)+1
What is the first derivative of x-0.8-0.2sin(x) ?
The first derivative of x-0.8-0.2sin(x) is -0.2cos(x)+1