What is the derivative of-10(sqrt(I^2+x^2)-I) ?

The derivative of-10(sqrt(I^2+x^2)-I) is -10(I/(sqrt(I^2+x^2))-1)

What is the first derivative of-10(sqrt(I^2+x^2)-I) ?

The first derivative of-10(sqrt(I^2+x^2)-I) is -10(I/(sqrt(I^2+x^2))-1)

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derivative of

- 10 (I^{2} + x^{2} - I)

- 10 (\frac{I}{I ^{2} + x ^{2}} - 1)

Solution steps

\frac{d}{d I} (- 10 (I^{2} + x^{2} - I))

Treat

x

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - 10 \frac{d}{d I} (I^{2} + x^{2} - I)

Apply the Sum/Difference Rule:

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

= - 10 (\frac{d}{d I} (I^{2} + x^{2}) - \frac{d I}{d I})

\frac{d}{d I} (I^{2} + x^{2}) = \frac{I}{I ^{2} + x ^{2}}

\frac{d I}{d I} = 1

= - 10 (\frac{I}{I ^{2} + x ^{2}} - 1)

(3, - 4), (5, 2)

\int \frac{x ^{2}}{1 - x ^{2}} d x

\frac{\partial}{\partial x} (2 g (x) \cdot (x^{- 2}) \cdot (\frac{D}{L}))

f (x) = \frac{7}{x}, at x = 4

\frac{\partial}{\partial x} (11238 x^{- 0.852})

What is the derivative of-10(sqrt(I^2+x^2)-I) ?
The derivative of-10(sqrt(I^2+x^2)-I) is -10(I/(sqrt(I^2+x^2))-1)
What is the first derivative of-10(sqrt(I^2+x^2)-I) ?
The first derivative of-10(sqrt(I^2+x^2)-I) is -10(I/(sqrt(I^2+x^2))-1)