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

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

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

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

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Popular >

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

3 y^{^{'}} + x y = 5 x

\frac{d}{d x} (x^{x^{5}})

\int (- 3 e^{x} + \frac{4}{x}) d x

\int_{7}^{8} e^{7 - x} d x

\frac{d}{d x} (sin (2))

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