What is the derivative of f(x)=(5x^6+4x^3)^4 ?

The derivative of f(x)=(5x^6+4x^3)^4 is 4(5x^6+4x^3)^3(30x^5+12x^2)

What is the first derivative of f(x)=(5x^6+4x^3)^4 ?

The first derivative of f(x)=(5x^6+4x^3)^4 is 4(5x^6+4x^3)^3(30x^5+12x^2)

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derivative of

f (x) = (5 x^{6} + 4 x^{3})^{4}

4 (5 x^{6} + 4 x^{3})^{3} (30 x^{5} + 12 x^{2})

Solution steps

\frac{d}{d x} ((5 x^{6} + 4 x^{3})^{4})

Apply the chain rule:

4 (5 x^{6} + 4 x^{3})^{3} \frac{d}{d x} (5 x^{6} + 4 x^{3})

= 4 (5 x^{6} + 4 x^{3})^{3} \frac{d}{d x} (5 x^{6} + 4 x^{3})

\frac{d}{d x} (5 x^{6} + 4 x^{3}) = 30 x^{5} + 12 x^{2}

= 4 (5 x^{6} + 4 x^{3})^{3} (30 x^{5} + 12 x^{2})

What is the derivative of f(x)=(5x^6+4x^3)^4 ?
The derivative of f(x)=(5x^6+4x^3)^4 is 4(5x^6+4x^3)^3(30x^5+12x^2)
What is the first derivative of f(x)=(5x^6+4x^3)^4 ?
The first derivative of f(x)=(5x^6+4x^3)^4 is 4(5x^6+4x^3)^3(30x^5+12x^2)