What is the derivative of 5xln(7x-5x) ?

The derivative of 5xln(7x-5x) is 5ln(7x)

What is the first derivative of 5xln(7x-5x) ?

The first derivative of 5xln(7x-5x) is 5ln(7x)

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\frac{d}{d x} (5 x ln (7 x) - 5 x)

5 ln (7 x)

Solution steps

\frac{d}{d x} (5 x ln (7 x) - 5 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x ln (7 x)) - \frac{d}{d x} (5 x)

\frac{d}{d x} (5 x ln (7 x)) = 5 (ln (7 x) + 1)

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

= 5 (ln (7 x) + 1) - 5

Simplify

5 (ln (7 x) + 1) - 5 : 5 ln (7 x)

= 5 ln (7 x)

\int e^{5 x} sin (3 x) d x

x^{3} + y^{3} = 6 x y, (3, 3)

x - x^{3}

\int \frac{3 e ^{2 x}}{e ^{2 x} + 15 e ^{x} + 54} d x

f (x) = \frac{4}{x ^{2}}

What is the derivative of 5xln(7x-5x) ?
The derivative of 5xln(7x-5x) is 5ln(7x)
What is the first derivative of 5xln(7x-5x) ?
The first derivative of 5xln(7x-5x) is 5ln(7x)