What is the derivative of (x^2-5x^4) ?

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

What is the first derivative of (x^2-5x^4) ?

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

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\frac{d}{d x} ((x^{2} - 5 x)^{4})

4 (x^{2} - 5 x)^{3} (2 x - 5)

Solution steps

\frac{d}{d x} ((x^{2} - 5 x)^{4})

Apply the chain rule:

4 (x^{2} - 5 x)^{3} \frac{d}{d x} (x^{2} - 5 x)

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

\frac{d}{d x} (x^{2} - 5 x) = 2 x - 5

= 4 (x^{2} - 5 x)^{3} (2 x - 5)

n = 1 \sum \infty \frac{( ( - 1 ) ^{(n - 1)} )}{( ( 2 n - 1 ) ^{3} )}

\int \frac{x ^{2} - 4 x + 5}{( x ^{2} - 1 ) ( x + 3 )} d x

\int_{1}^{4} x ln (x) d x

\int sec (x) csc (x) d x

\int x^{2} - 4 x d x

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