What is the derivative of 8w^4+3w^2+7w ?

The derivative of 8w^4+3w^2+7w is 32w^3+6w+7

What is the first derivative of 8w^4+3w^2+7w ?

The first derivative of 8w^4+3w^2+7w is 32w^3+6w+7

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derivative of

8 w^{4} + 3 w^{2} + 7 w

32 w^{3} + 6 w + 7

Solution steps

\frac{d}{d w} (8 w^{4} + 3 w^{2} + 7 w)

Apply the Sum/Difference Rule:

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

= \frac{d}{d w} (8 w^{4}) + \frac{d}{d w} (3 w^{2}) + \frac{d}{d w} (7 w)

\frac{d}{d w} (8 w^{4}) = 32 w^{3}

\frac{d}{d w} (3 w^{2}) = 6 w

\frac{d}{d w} (7 w) = 7

= 32 w^{3} + 6 w + 7

\int (x^{2} - 4 x + 4)^{\frac{4}{3}} d x

\frac{d y}{d x} = \frac{5 x}{6 y}

\int (2 x^{2} + 5 x) e^{3 x} d x

\frac{e ^{- a s}}{s ^{2}}

3 + 4 x^{2} - 5 x^{3}

What is the derivative of 8w^4+3w^2+7w ?
The derivative of 8w^4+3w^2+7w is 32w^3+6w+7
What is the first derivative of 8w^4+3w^2+7w ?
The first derivative of 8w^4+3w^2+7w is 32w^3+6w+7