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Popular >

derivative of y=x^8+7x^6-5x+4

Solution

derivative of

y = x^{8} + 7 x^{6} - 5 x + 4

Solution

8 x^{7} + 42 x^{5} - 5

Solution steps

\frac{d}{d x} (x^{8} + 7 x^{6} - 5 x + 4)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{8}) + \frac{d}{d x} (7 x^{6}) - \frac{d}{d x} (5 x) + \frac{d}{d x} (4)

\frac{d}{d x} (x^{8}) = 8 x^{7}

\frac{d}{d x} (7 x^{6}) = 42 x^{5}

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

\frac{d}{d x} (4) = 0

= 8 x^{7} + 42 x^{5} - 5 + 0

Simplify

= 8 x^{7} + 42 x^{5} - 5

Popular Examples

derivative of sin^2(x-1)

\frac{d}{d x} (sin^{2} (x - 1))

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\int (2 x^{2} - 1) (2 x^{3} - 3 x + 9)^{\frac{1}{3}} d x

((x^2))/(y^2-5)y^'= 1/(2y)

\frac{( x ^{2} )}{y ^{2} - 5} y^{^{'}} = \frac{1}{2 y}

integral from 6 to 7 of t^2

\int_{6}^{7} t^{2} d t

limit as x approaches 2 of sqrt(f(x))

x \to 2 lim (f (x))

Frequently Asked Questions (FAQ)

What is the derivative of y=x^8+7x^6-5x+4 ?
The derivative of y=x^8+7x^6-5x+4 is 8x^7+42x^5-5
What is the first derivative of y=x^8+7x^6-5x+4 ?
The first derivative of y=x^8+7x^6-5x+4 is 8x^7+42x^5-5