What is the derivative of 8x^52pi ?

The derivative of 8x^52pi is 80pix^4

What is the first derivative of 8x^52pi ?

The first derivative of 8x^52pi is 80pix^4

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\frac{d}{d x} (8 x^{5} 2 π)

80 π x^{4}

Solution steps

\frac{d}{d x} (8 x^{5} \cdot 2 π)

Simplify

8 x^{5} \cdot 2 π : 16 π x^{5}

= \frac{d}{d x} (16 π x^{5})

Take the constant out:

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

= 16 π \frac{d}{d x} (x^{5})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 16 π 5 x^{5 - 1}

Simplify

= 80 π x^{4}

\int_{1}^{4} \frac{x ^{2} + 4}{x} d x

\frac{d}{d x} (\frac{x ^{2} + 6}{( 2 x - 7 ) ^{7}})

x \to 0 lim (\frac{200 π}{x})

y = \frac{y + 5 x}{3 y - x}, (1, 2)

\frac{d}{d x} (e^{2 t a n (x)})

What is the derivative of 8x^52pi ?
The derivative of 8x^52pi is 80pix^4
What is the first derivative of 8x^52pi ?
The first derivative of 8x^52pi is 80pix^4