What is the derivative of F(x)=(7x^6+2x^3)^4 ?

The derivative of F(x)=(7x^6+2x^3)^4 is 4(7x^6+2x^3)^3(42x^5+6x^2)

What is the first derivative of F(x)=(7x^6+2x^3)^4 ?

The first derivative of F(x)=(7x^6+2x^3)^4 is 4(7x^6+2x^3)^3(42x^5+6x^2)

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derivative of

F (x) = (7 x^{6} + 2 x^{3})^{4}

4 (7 x^{6} + 2 x^{3})^{3} (42 x^{5} + 6 x^{2})

Solution steps

\frac{d}{d x} ((7 x^{6} + 2 x^{3})^{4})

Apply the chain rule:

4 (7 x^{6} + 2 x^{3})^{3} \frac{d}{d x} (7 x^{6} + 2 x^{3})

= 4 (7 x^{6} + 2 x^{3})^{3} \frac{d}{d x} (7 x^{6} + 2 x^{3})

\frac{d}{d x} (7 x^{6} + 2 x^{3}) = 42 x^{5} + 6 x^{2}

= 4 (7 x^{6} + 2 x^{3})^{3} (42 x^{5} + 6 x^{2})

\frac{\partial}{\partial x} (sin^{2} (x^{3} e^{y}))

\int \frac{1}{81 e ^{- 8 x} + e ^{8 x}} d x

\frac{d}{d x} (cos (sin (2 x + 5)))

What is the derivative of F(x)=(7x^6+2x^3)^4 ?
The derivative of F(x)=(7x^6+2x^3)^4 is 4(7x^6+2x^3)^3(42x^5+6x^2)
What is the first derivative of F(x)=(7x^6+2x^3)^4 ?
The first derivative of F(x)=(7x^6+2x^3)^4 is 4(7x^6+2x^3)^3(42x^5+6x^2)