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Popular >

derivative of 10+1/4 sin(10pix)

Solution

\frac{d}{d x} (10 + \frac{1}{4} sin (10 π x))

Solution

\frac{5 π}{2} cos (10 π x)

Solution steps

\frac{d}{d x} (10 + \frac{1}{4} sin (10 π x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (10) + \frac{d}{d x} (\frac{1}{4} sin (10 π x))

\frac{d}{d x} (10) = 0

\frac{d}{d x} (\frac{1}{4} sin (10 π x)) = \frac{5 π}{2} cos (10 π x)

= 0 + \frac{5 π}{2} cos (10 π x)

Simplify

= \frac{5 π}{2} cos (10 π x)

Popular Examples

integral of (ln^3(x))/2

\int \frac{ln ^{3} ( x )}{2} d x

tangent of y=sqrt(x^3+1),(2,3)tangent of

y = x^{3} + 1, (2, 3)

limit as x approaches 0 of xcot(3/5 x)

x \to 0 lim (x cot (\frac{3}{5} x))

derivative of sin(arccos(x))

\frac{d}{d x} (sin (arccos (x)))

y^{''}-y^'+y=4sin(t)

y^{^{''}} - y^{^{'}} + y = 4 sin (t)

Frequently Asked Questions (FAQ)

What is the derivative of 10+1/4 sin(10pix) ?
The derivative of 10+1/4 sin(10pix) is (5pi)/2 cos(10pix)
What is the first derivative of 10+1/4 sin(10pix) ?
The first derivative of 10+1/4 sin(10pix) is (5pi)/2 cos(10pix)