What is the derivative of 25-5xln(0.04x)-x ?

The derivative of 25-5xln(0.04x)-x is -5ln(0.04x)-6

What is the first derivative of 25-5xln(0.04x)-x ?

The first derivative of 25-5xln(0.04x)-x is -5ln(0.04x)-6

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derivative of

25 - 5 x ln (0.04 x) - x

- 5 ln (0.04 x) - 6

Solution steps

\frac{d}{d x} (25 - 5 x ln (0.04 x) - x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (25) - \frac{d}{d x} (5 x ln (0.04 x)) - \frac{d x}{d x}

\frac{d}{d x} (25) = 0

\frac{d}{d x} (5 x ln (0.04 x)) = 5 (ln (0.04 x) + 1)

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

= 0 - 5 (ln (0.04 x) + 1) - 1

Simplify

0 - 5 (ln (0.04 x) + 1) - 1 : - 5 ln (0.04 x) - 6

= - 5 ln (0.04 x) - 6

x \to 0 + lim (- 4 csc^{2} (4 x))

\int \frac{x - 4}{x ^{2} - x - 6} d x

2 x d y + y d x = 0

\int \frac{4}{x ^{2} + 2 x} d x

\frac{\partial}{\partial x} (x ln (z^{5} + x^{7}))

What is the derivative of 25-5xln(0.04x)-x ?
The derivative of 25-5xln(0.04x)-x is -5ln(0.04x)-6
What is the first derivative of 25-5xln(0.04x)-x ?
The first derivative of 25-5xln(0.04x)-x is -5ln(0.04x)-6