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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Graph

Popular Examples

integral from-3 to 3 of |x|

\int_{- 3}^{3} ∣ x ∣ d x

integral of (4e^{2x})/(e^{2x)+12e^x+32}

\int \frac{4 e ^{2 x}}{e ^{2 x} + 12 e ^{x} + 32} d x

integral of (2x^2-3x+4)/(2x-7)

\int \frac{2 x ^{2} - 3 x + 4}{2 x - 7} d x

integral of (x^6-x^3+1)/(x^4+9x^2)

\int \frac{x ^{6} - x ^{3} + 1}{x ^{4} + 9 x ^{2}} d x

limit as x approaches infinity of (log_{4}(x))/(log_{9)(x)}

x \to \infty lim (\frac{lo g _{4} ( x )}{lo g _{9} ( x )})

Frequently Asked Questions (FAQ)

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