What is the derivative of 10(3x^2+7x-3^{10}) ?

The derivative of 10(3x^2+7x-3^{10}) is 100(3x^2+7x-3)^9(6x+7)

What is the first derivative of 10(3x^2+7x-3^{10}) ?

The first derivative of 10(3x^2+7x-3^{10}) is 100(3x^2+7x-3)^9(6x+7)

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\frac{d}{d x} (10 (3 x^{2} + 7 x - 3)^{10})

100 (3 x^{2} + 7 x - 3)^{9} (6 x + 7)

Solution steps

\frac{d}{d x} (10 (3 x^{2} + 7 x - 3)^{10})

Take the constant out:

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

= 10 \frac{d}{d x} ((3 x^{2} + 7 x - 3)^{10})

Apply the chain rule:

10 (3 x^{2} + 7 x - 3)^{9} \frac{d}{d x} (3 x^{2} + 7 x - 3)

= 10 (3 x^{2} + 7 x - 3)^{9} \frac{d}{d x} (3 x^{2} + 7 x - 3)

\frac{d}{d x} (3 x^{2} + 7 x - 3) = 6 x + 7

= 10 \cdot 10 (3 x^{2} + 7 x - 3)^{9} (6 x + 7)

Simplify

= 100 (3 x^{2} + 7 x - 3)^{9} (6 x + 7)

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

\frac{d}{d x} (5 ln (x^{5}))

(e^{x})^{^{'}}

\int 4 x^{- \frac{6}{7}} d x

x y^{^{'}} + (2 x - 3) y = 4 x^{4}

What is the derivative of 10(3x^2+7x-3^{10}) ?
The derivative of 10(3x^2+7x-3^{10}) is 100(3x^2+7x-3)^9(6x+7)
What is the first derivative of 10(3x^2+7x-3^{10}) ?
The first derivative of 10(3x^2+7x-3^{10}) is 100(3x^2+7x-3)^9(6x+7)