What is the derivative of 5x^2-sin(pix) ?

The derivative of 5x^2-sin(pix) is 10x-cos(pix)pi

What is the first derivative of 5x^2-sin(pix) ?

The first derivative of 5x^2-sin(pix) is 10x-cos(pix)pi

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derivative of

5 x^{2} - sin (π x)

10 x - cos (π x) π

Solution steps

\frac{d}{d x} (5 x^{2} - sin (π x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (sin (π x))

\frac{d}{d x} (5 x^{2}) = 10 x

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

= 10 x - cos (π x) π

y^{^{'}} + 4 y = e^{- 4 t}, y (0) = 2

y = \frac{3 + csc ( x )}{7 - csc ( x )}

\frac{2 x}{( x ^{2} - 5 ) ^{3}}, at x = 0

\int \frac{1}{x ^{3} x ^{2} - 81} d x

What is the derivative of 5x^2-sin(pix) ?
The derivative of 5x^2-sin(pix) is 10x-cos(pix)pi
What is the first derivative of 5x^2-sin(pix) ?
The first derivative of 5x^2-sin(pix) is 10x-cos(pix)pi