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Popular >

derivative of-sin(5pix*5pi)

Solution

\frac{d}{d x} (- sin (5 π x) \cdot 5 π)

Solution

- 25 π^{2} cos (5 π x)

Solution steps

\frac{d}{d x} (- sin (5 π x) \cdot 5 π)

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 5 π \frac{d}{d x} (sin (5 π x))

Apply the chain rule:

cos (5 π x) \frac{d}{d x} (5 π x)

= cos (5 π x) \frac{d}{d x} (5 π x)

\frac{d}{d x} (5 π x) = 5 π

= - 5 π cos (5 π x) \cdot 5 π

Simplify

- 5 π cos (5 π x) \cdot 5 π : - 25 π^{2} cos (5 π x)

= - 25 π^{2} cos (5 π x)

Popular Examples

derivative of (x^3+2^2(x^4+4)^4)

\frac{d}{d x} ((x^{3} + 2)^{2} (x^{4} + 4)^{4})

y^'(t)=0.3y*(1-y/(2500))-y/4 ,y(0)=600

y^{^{'}} (t) = 0.3 y \cdot (1 - \frac{y}{2500}) - \frac{y}{4}, y (0) = 600

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

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

(\partial)/(\partial x)(cos(-5x-6y))

\frac{\partial}{\partial x} (cos (- 5 x - 6 y))

derivative of e^xx derivative of

e^{x} x

Frequently Asked Questions (FAQ)

What is the derivative of-sin(5pix*5pi) ?
The derivative of-sin(5pix*5pi) is -25pi^2cos(5pix)
What is the first derivative of-sin(5pix*5pi) ?
The first derivative of-sin(5pix*5pi) is -25pi^2cos(5pix)