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Popular >

d/(dy)(1-xycos(piy))

Solution

\frac{d}{d y} (1 - x y cos (π y))

Solution

- x (- π y sin (π y) + cos (π y))

Solution steps

\frac{d}{d y} (1 - x y cos (π y))

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{d}{d y} (1) - \frac{d}{d y} (x y cos (π y))

\frac{d}{d y} (1) = 0

\frac{d}{d y} (x y cos (π y)) = x (cos (π y) - π y sin (π y))

= 0 - x (cos (π y) - π y sin (π y))

Simplify

= - x (- π y sin (π y) + cos (π y))

Popular Examples

derivative of (x^2)/(40)derivative of

\frac{x ^{2}}{40}

x y^{^{'}} = e^{x} - y

laplacetransform f(t)= 1/20 t^5e^{2t}laplace transform

f (t) = \frac{1}{20} t^{5} e^{2 t}

limit as x approaches 0 of (x)^2

x \to 0 lim ((x)^{2})

integral of 1/(6x^2+36x+78)

\int \frac{1}{6 x ^{2} + 36 x + 78} d x

Frequently Asked Questions (FAQ)

What is the d/(dy)(1-xycos(piy)) ?
The d/(dy)(1-xycos(piy)) is -x(-piysin(piy)+cos(piy))
What is the first d/(dy)(1-xycos(piy)) ?
The first d/(dy)(1-xycos(piy)) is -x(-piysin(piy)+cos(piy))