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

The derivative of (9x^6+4x^3^4) is 4(9x^6+4x^3)^3(54x^5+12x^2)

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

The first derivative of (9x^6+4x^3^4) is 4(9x^6+4x^3)^3(54x^5+12x^2)

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

4 (9 x^{6} + 4 x^{3})^{3} (54 x^{5} + 12 x^{2})

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (9 x^{6} + 4 x^{3}) = 54 x^{5} + 12 x^{2}

= 4 (9 x^{6} + 4 x^{3})^{3} (54 x^{5} + 12 x^{2})

6 x^{2}, x^{2} + 9

\int 2 x e^{- 3 x} d x

\frac{d y}{d x} (y) = 7 - 9 tan (x)

f (x) = 3 x^{2} - 2 x

\frac{d y}{d x}, x y = 1

What is the derivative of (9x^6+4x^3^4) ?
The derivative of (9x^6+4x^3^4) is 4(9x^6+4x^3)^3(54x^5+12x^2)
What is the first derivative of (9x^6+4x^3^4) ?
The first derivative of (9x^6+4x^3^4) is 4(9x^6+4x^3)^3(54x^5+12x^2)