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Popular >

derivative of 0.75-2xsin(0.1x)

Solution

\frac{d}{d x} (0.75 - 2 x sin (0.1 x))

Solution

- 2 (0.1 x cos (0.1 x) + sin (0.1 x))

Solution steps

\frac{d}{d x} (0.75 - 2 x sin (0.1 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (0.75) - \frac{d}{d x} (2 x sin (0.1 x))

\frac{d}{d x} (0.75) = 0

\frac{d}{d x} (2 x sin (0.1 x)) = 2 (sin (0.1 x) + 0.1 x cos (0.1 x))

= 0 - 2 (sin (0.1 x) + 0.1 x cos (0.1 x))

Simplify

= - 2 (0.1 x cos (0.1 x) + sin (0.1 x))

Popular Examples

y^{''}+25y=10sin(5x)

y^{^{''}} + 25 y = 10 sin (5 x)

limit as x approaches 0 of ln(3-x)

x \to 0 lim (ln (3 - x))

inverse oflaplace s/(s^2+8)inverse laplace

\frac{s}{s ^{2} + 8}

taylor e^x,5 taylor

e^{x}, 5

tangent of f(x)= 5/x ,\at x=-1/5 tangent of

f (x) = \frac{5}{x}, at x = - \frac{1}{5}

Frequently Asked Questions (FAQ)

What is the derivative of 0.75-2xsin(0.1x) ?
The derivative of 0.75-2xsin(0.1x) is -2(0.1xcos(0.1x)+sin(0.1x))
What is the first derivative of 0.75-2xsin(0.1x) ?
The first derivative of 0.75-2xsin(0.1x) is -2(0.1xcos(0.1x)+sin(0.1x))