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Popular >

derivative of-(x^7/7+(x^5)/5)

Solution

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

Solution

- x^{6} + x^{4}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (\frac{x ^{7}}{7}) = x^{6}

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

= - x^{6} + x^{4}

Popular Examples

derivative of y=(3x-2)/(2x+1)derivative of

y = \frac{3 x - 2}{2 x + 1}

(\partial)/(\partial x)((2y)/((x+y)^2))

\frac{\partial}{\partial x} (\frac{2 y}{( x + y ) ^{2}})

integral of (x^3)/((x^2+a^2)^3)

\int \frac{x ^{3}}{( x ^{2} + a ^{2} ) ^{3}} d x

area y=3sqrt(x),x+y=4,y=1 area

y = 3 x, x + y = 4, y = 1

integral from-1 to 1 of (5r)/((4+r^2)^2)

\int_{- 1}^{1} \frac{5 r}{( 4 + r ^{2} ) ^{2}} d r

Frequently Asked Questions (FAQ)

What is the derivative of-(x^7/7+(x^5)/5) ?
The derivative of-(x^7/7+(x^5)/5) is -x^6+x^4
What is the first derivative of-(x^7/7+(x^5)/5) ?
The first derivative of-(x^7/7+(x^5)/5) is -x^6+x^4