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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

f (x) = x ln (x)

\int - e^{- x} + 1 d x

\int_{- 6}^{6} (36 - x^{2}) d x

\frac{d}{d x} (\frac{x - 1}{2 x - 3})

\int \frac{( 5 x ^{2} )}{( x - 1 ) ( x ^{2} + 9 )} d x

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