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Popular >

derivative of cos(10x-0.1sin(10x))

Solution

\frac{d}{d x} (cos (10 x) - 0.1 sin (10 x))

Solution

- sin (10 x) \cdot 10 - cos (10 x)

Solution steps

\frac{d}{d x} (cos (10 x) - 0.1 sin (10 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (cos (10 x)) - \frac{d}{d x} (0.1 sin (10 x))

\frac{d}{d x} (cos (10 x)) = - sin (10 x) \cdot 10

\frac{d}{d x} (0.1 sin (10 x)) = cos (10 x)

= - sin (10 x) \cdot 10 - cos (10 x)

Popular Examples

integral of 2/(x^2+3)

\int \frac{2}{x ^{2} + 3} d x

(x^2y^3-1/(1+9x^2))dx+(x^3y^2)dy=0

(x^{2} y^{3} - \frac{1}{1 + 9 x ^{2}}) d x + (x^{3} y^{2}) d y = 0

derivative of sin^2(x-cos^2(x))

\frac{d}{d x} (sin^{2} (x) - cos^{2} (x))

derivative of ln(2x+1)derivative of

ln (2 x + 1)

limit as x approaches 5 of 3/(x-5)

x \to 5 lim (\frac{3}{x - 5})

Frequently Asked Questions (FAQ)

What is the derivative of cos(10x-0.1sin(10x)) ?
The derivative of cos(10x-0.1sin(10x)) is -sin(10x)*10-cos(10x)
What is the first derivative of cos(10x-0.1sin(10x)) ?
The first derivative of cos(10x-0.1sin(10x)) is -sin(10x)*10-cos(10x)