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Popular >

derivative of x^5+5x^4-10x^2+6

Solution

\frac{d}{d x} (x^{5} + 5 x^{4} - 10 x^{2} + 6)

Solution

5 x^{4} + 20 x^{3} - 20 x

Solution steps

\frac{d}{d x} (x^{5} + 5 x^{4} - 10 x^{2} + 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{5}) + \frac{d}{d x} (5 x^{4}) - \frac{d}{d x} (10 x^{2}) + \frac{d}{d x} (6)

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

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

\frac{d}{d x} (10 x^{2}) = 20 x

\frac{d}{d x} (6) = 0

= 5 x^{4} + 20 x^{3} - 20 x + 0

Simplify

= 5 x^{4} + 20 x^{3} - 20 x

Popular Examples

implicit (dy)/(dx),2x^4+9y=2x^2y+36 implicit derivative

\frac{d y}{d x}, 2 x^{4} + 9 y = 2 x^{2} y + 36

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

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

inverse oflaplace ((s))/(s^2+5s+6)inverse laplace

\frac{( s )}{s ^{2} + 5 s + 6}

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

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

(dy)/(dx)+10y=8

\frac{d y}{d x} + 10 y = 8

Frequently Asked Questions (FAQ)

What is the derivative of x^5+5x^4-10x^2+6 ?
The derivative of x^5+5x^4-10x^2+6 is 5x^4+20x^3-20x
What is the first derivative of x^5+5x^4-10x^2+6 ?
The first derivative of x^5+5x^4-10x^2+6 is 5x^4+20x^3-20x