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Popular >

(d^4)/(dx^4)(e^{4x})

Solution

\frac{d ^{4}}{d x ^{4}} (e^{4 x})

Solution

256 e^{4 x}

Solution steps

\frac{d ^{4}}{d x ^{4}} (e^{4 x})

\frac{d}{d x} (e^{4 x}) = e^{4 x} \cdot 4

= \frac{d ^{3}}{d x ^{3}} (e^{4 x} \cdot 4)

\frac{d}{d x} (e^{4 x} \cdot 4) = 16 e^{4 x}

= \frac{d ^{2}}{d x ^{2}} (16 e^{4 x})

\frac{d}{d x} (16 e^{4 x}) = 64 e^{4 x}

= \frac{d}{d x} (64 e^{4 x})

\frac{d}{d x} (64 e^{4 x}) = 256 e^{4 x}

= 256 e^{4 x}

Popular Examples

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integral from 0 to 2pi of sqrt(20+16t^2)

\int_{0}^{2 π} 20 + 16 t^{2} d t

integral of sin(1)

\int sin (1) d x

area x^3-6x^2+8x,[2,4]area

x^{3} - 6 x^{2} + 8 x, [2, 4]

integral of (x^3)/(sqrt(16+x^2))

\int \frac{x ^{3}}{16 + x ^{2}} d x

Frequently Asked Questions (FAQ)

What is (d^4)/(dx^4)(e^{4x}) ?
The answer to (d^4)/(dx^4)(e^{4x}) is 256e^{4x}