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Popular >

derivative of y=(x^6-10)x

Solution

derivative of

y = (x^{6} - 10) x

Solution

7 x^{6} - 10

Solution steps

\frac{d}{d x} ((x^{6} - 10) x)

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{6} - 10, g = x

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

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

\frac{d x}{d x} = 1

= 6 x^{5} x + 1 \cdot (x^{6} - 10)

Simplify

6 x^{5} x + 1 \cdot (x^{6} - 10) : 7 x^{6} - 10

= 7 x^{6} - 10

Popular Examples

(dy)/(dt)=0.0572(400-y),y(0)=32

\frac{d y}{d t} = 0.0572 (400 - y), y (0) = 32

y^'+(1-2x)/(x^2)y-1=0

y^{^{'}} + \frac{1 - 2 x}{x ^{2}} y - 1 = 0

(\partial)/(\partial y)(xy+yz+zy)

\frac{\partial}{\partial y} (x y + yz + zy)

derivative of f(x)=-1/9 (x^{-9}-x^{18})derivative of

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integral of 1/(16e^{-5x)+e^{5x}}

\int \frac{1}{16 e ^{- 5 x} + e ^{5 x}} d x

Frequently Asked Questions (FAQ)

What is the derivative of y=(x^6-10)x ?
The derivative of y=(x^6-10)x is 7x^6-10
What is the first derivative of y=(x^6-10)x ?
The first derivative of y=(x^6-10)x is 7x^6-10