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Popular >

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

Popular Examples

sum from n=0 to infinity of 1/(n^2+4n+3)

n = 0 \sum \infty \frac{1}{n ^{2} + 4 n + 3}

tangent of y=2x^3-x^2+5,(2,17)tangent of

y = 2 x^{3} - x^{2} + 5, (2, 17)

tangent of f(x)=3x^2+4x+1,\at x=0 tangent of

f (x) = 3 x^{2} + 4 x + 1, at x = 0

8cos^2(y)dx+csc^2(x)dy=0,y(pi/(12))= pi/4

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

derivative of f(x)=(x+3)/(sqrt(x))derivative of

f (x) = \frac{x + 3}{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