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Popular >

(dy)/(dx)= 1/(x^8)

Solution

\frac{d y}{d x} = \frac{1}{x ^{8}}

Solution

y = - \frac{1}{7 x ^{7}} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{1}{x ^{8}}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = \frac{1}{x ^{8}}

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int \frac{1}{x ^{8}} d x

\int \frac{1}{x ^{8}} d x = - \frac{1}{7 x ^{7}} + c_{1}

y = - \frac{1}{7 x ^{7}} + c_{1}

Popular Examples

tangent of y=(3-2x+4x^3),(-1,1)tangent of

y = (3 - 2 x + 4 x^{3}), (- 1, 1)

derivative of xln(y+sin(3x))

\frac{d}{d x} (x ln (y) + sin (3 x))

sum from n=1 to infinity of (10/17)^n

n = 1 \sum \infty (\frac{10}{17})^{n}

(\partial)/(\partial x)(cos(xy)y)

\frac{\partial}{\partial x} (cos (x y) y)

derivative of sin^{cos(x}(x))

\frac{d}{d x} (sin^{c o s (x)} (x))

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)= 1/(x^8) ?
The solution for (dy)/(dx)= 1/(x^8) is y=-1/(7x^7)+c_{1}