What is the derivative of (x-y^{10}) ?

The derivative of (x-y^{10}) is 10(x-y)^9(1-(dy)/(dx))

What is the first derivative of (x-y^{10}) ?

The first derivative of (x-y^{10}) is 10(x-y)^9(1-(dy)/(dx))

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

10 (x - y)^{9} (1 - \frac{d y}{d x})

Solution steps

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

Apply the chain rule:

10 (x - y)^{9} \frac{d}{d x} (x - y)

= 10 (x - y)^{9} \frac{d}{d x} (x - y)

\frac{d}{d x} (x - y) = 1 - \frac{d y}{d x}

= 10 (x - y)^{9} (1 - \frac{d y}{d x})

\int (x^{2} + 5) e^{2 x} d x

x \to 8 - lim (x^{2} + 5)

\frac{d}{d x} (x^{2} e^{y z})

f (x) = 5 x^{2} + 2 x - 20

\frac{d x}{d t} = 2 t cos^{2} (x)

What is the derivative of (x-y^{10}) ?
The derivative of (x-y^{10}) is 10(x-y)^9(1-(dy)/(dx))
What is the first derivative of (x-y^{10}) ?
The first derivative of (x-y^{10}) is 10(x-y)^9(1-(dy)/(dx))