What is the derivative of 4x^3-5\sqrt[7]{x^6}+pix ?

The derivative of 4x^3-5\sqrt[7]{x^6}+pix is 12x^2-(30x^5)/(7(x^6)^{6/7)}+pi

What is the first derivative of 4x^3-5\sqrt[7]{x^6}+pix ?

The first derivative of 4x^3-5\sqrt[7]{x^6}+pix is 12x^2-(30x^5)/(7(x^6)^{6/7)}+pi

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derivative of

4 x^{3} - 5 7 x^{6} + π x

12 x^{2} - \frac{30 x ^{5}}{7 ( x ^{6} ) ^{\frac{6}{7}}} + π

Solution steps

\frac{d}{d x} (4 x^{3} - 5 7 x^{6} + π x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (5 7 x^{6}) + \frac{d}{d x} (π x)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (5 7 x^{6}) = \frac{30 x ^{5}}{7 ( x ^{6} ) ^{\frac{6}{7}}}

\frac{d}{d x} (π x) = π

= 12 x^{2} - \frac{30 x ^{5}}{7 ( x ^{6} ) ^{\frac{6}{7}}} + π

e^{- 4 t} cos (3 t)

\int x e^{3 x} d x

f (t) = 6 cos (t)

\frac{d}{d x} (18 x (x^{2} + 6)^{8})

\int x^{1.5} d x

What is the derivative of 4x^3-5\sqrt[7]{x^6}+pix ?
The derivative of 4x^3-5\sqrt[7]{x^6}+pix is 12x^2-(30x^5)/(7(x^6)^{6/7)}+pi
What is the first derivative of 4x^3-5\sqrt[7]{x^6}+pix ?
The first derivative of 4x^3-5\sqrt[7]{x^6}+pix is 12x^2-(30x^5)/(7(x^6)^{6/7)}+pi