What is the derivative of 6(x^2+4^8) ?

The derivative of 6(x^2+4^8) is 96x(x^2+4)^7

What is the first derivative of 6(x^2+4^8) ?

The first derivative of 6(x^2+4^8) is 96x(x^2+4)^7

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\frac{d}{d x} (6 (x^{2} + 4)^{8})

96 x (x^{2} + 4)^{7}

Solution steps

\frac{d}{d x} (6 (x^{2} + 4)^{8})

Take the constant out:

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

= 6 \frac{d}{d x} ((x^{2} + 4)^{8})

Apply the chain rule:

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

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

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

= 6 \cdot 8 (x^{2} + 4)^{7} \cdot 2 x

Simplify

= 96 x (x^{2} + 4)^{7}

\frac{d}{d x} (\frac{π x}{3})

f (x) = x^{2} - 7 x + 7, (0, 7)

x \to 1 + lim (4 x - 2 x^{2})

\frac{x}{x + e ^{(x^{2})}}

y = (5 x + 14)^{5}

What is the derivative of 6(x^2+4^8) ?
The derivative of 6(x^2+4^8) is 96x(x^2+4)^7
What is the first derivative of 6(x^2+4^8) ?
The first derivative of 6(x^2+4^8) is 96x(x^2+4)^7