What is the derivative of f(x)=(34x-2pi*x^3)/2 ?

The derivative of f(x)=(34x-2pi*x^3)/2 is -3pix^2+17

What is the first derivative of f(x)=(34x-2pi*x^3)/2 ?

The first derivative of f(x)=(34x-2pi*x^3)/2 is -3pix^2+17

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derivative of

f (x) = \frac{34 x - 2 π \cdot x ^{3}}{2}

- 3 π x^{2} + 17

Solution steps

\frac{d}{d x} (\frac{34 x - 2 π x ^{3}}{2})

Simplify

\frac{34 x - 2 π x ^{3}}{2} : x (- π x^{2} + 17)

= \frac{d}{d x} (x (- π x^{2} + 17))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = - π x^{2} + 17

= \frac{d x}{d x} (- π x^{2} + 17) + \frac{d}{d x} (- π x^{2} + 17) x

\frac{d x}{d x} = 1

\frac{d}{d x} (- π x^{2} + 17) = - 2 π x

= 1 \cdot (- π x^{2} + 17) + (- 2 π x) x

Simplify

1 \cdot (- π x^{2} + 17) + (- 2 π x) x : - 3 π x^{2} + 17

= - 3 π x^{2} + 17

\frac{\partial}{\partial x} (e^{4 y - x^{2} - y^{2}})

\int (8 x^{7} - \frac{7}{x ^{7}}) d x

y = x^{10}

f (x) = - \frac{16}{x ^{3}}

\frac{d}{d x} (a x^{2} (x - 3) + b x^{4} (ln (\frac{x}{3})))

What is the derivative of f(x)=(34x-2pi*x^3)/2 ?
The derivative of f(x)=(34x-2pi*x^3)/2 is -3pix^2+17
What is the first derivative of f(x)=(34x-2pi*x^3)/2 ?
The first derivative of f(x)=(34x-2pi*x^3)/2 is -3pix^2+17