What is the derivative of (2x^5-5x^3+7x^4) ?

The derivative of (2x^5-5x^3+7x^4) is 4(2x^5-5x^3+7x)^3(10x^4-15x^2+7)

What is the first derivative of (2x^5-5x^3+7x^4) ?

The first derivative of (2x^5-5x^3+7x^4) is 4(2x^5-5x^3+7x)^3(10x^4-15x^2+7)

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\frac{d}{d x} ((2 x^{5} - 5 x^{3} + 7 x)^{4})

4 (2 x^{5} - 5 x^{3} + 7 x)^{3} (10 x^{4} - 15 x^{2} + 7)

Solution steps

\frac{d}{d x} ((2 x^{5} - 5 x^{3} + 7 x)^{4})

Apply the chain rule:

4 (2 x^{5} - 5 x^{3} + 7 x)^{3} \frac{d}{d x} (2 x^{5} - 5 x^{3} + 7 x)

= 4 (2 x^{5} - 5 x^{3} + 7 x)^{3} \frac{d}{d x} (2 x^{5} - 5 x^{3} + 7 x)

\frac{d}{d x} (2 x^{5} - 5 x^{3} + 7 x) = 10 x^{4} - 15 x^{2} + 7

= 4 (2 x^{5} - 5 x^{3} + 7 x)^{3} (10 x^{4} - 15 x^{2} + 7)

What is the derivative of (2x^5-5x^3+7x^4) ?
The derivative of (2x^5-5x^3+7x^4) is 4(2x^5-5x^3+7x)^3(10x^4-15x^2+7)
What is the first derivative of (2x^5-5x^3+7x^4) ?
The first derivative of (2x^5-5x^3+7x^4) is 4(2x^5-5x^3+7x)^3(10x^4-15x^2+7)