What is the derivative of (9x^6+2x^3^4) ?

The derivative of (9x^6+2x^3^4) is 4(9x^6+2x^3)^3(54x^5+6x^2)

What is the first derivative of (9x^6+2x^3^4) ?

The first derivative of (9x^6+2x^3^4) is 4(9x^6+2x^3)^3(54x^5+6x^2)

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\frac{d}{d x} ((9 x^{6} + 2 x^{3})^{4})

4 (9 x^{6} + 2 x^{3})^{3} (54 x^{5} + 6 x^{2})

Solution steps

\frac{d}{d x} ((9 x^{6} + 2 x^{3})^{4})

Apply the chain rule:

4 (9 x^{6} + 2 x^{3})^{3} \frac{d}{d x} (9 x^{6} + 2 x^{3})

= 4 (9 x^{6} + 2 x^{3})^{3} \frac{d}{d x} (9 x^{6} + 2 x^{3})

\frac{d}{d x} (9 x^{6} + 2 x^{3}) = 54 x^{5} + 6 x^{2}

= 4 (9 x^{6} + 2 x^{3})^{3} (54 x^{5} + 6 x^{2})

x \to 0 lim ((5 x)^{x})

\int x cos (π x^{2}) d x

x y^{^{'}} - y = 0

\frac{3 + ( \frac{4}{s} )}{s + 5}

\frac{d}{d x} (x + x y)

What is the derivative of (9x^6+2x^3^4) ?
The derivative of (9x^6+2x^3^4) is 4(9x^6+2x^3)^3(54x^5+6x^2)
What is the first derivative of (9x^6+2x^3^4) ?
The first derivative of (9x^6+2x^3^4) is 4(9x^6+2x^3)^3(54x^5+6x^2)