What is the derivative of y=7x*ln(5x)-7x ?

The derivative of y=7x*ln(5x)-7x is 7ln(5x)

What is the first derivative of y=7x*ln(5x)-7x ?

The first derivative of y=7x*ln(5x)-7x is 7ln(5x)

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derivative of

y = 7 x \cdot ln (5 x) - 7 x

7 ln (5 x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (7 x) = 7

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

Simplify

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

= 7 ln (5 x)

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

\int (\frac{1}{3 x}) d x

\frac{d}{d x} (ln (x^{2} + 3 x + 5))

\int 10 x^{4} d x

y = 25 - x^{2}, (0, 5)

What is the derivative of y=7x*ln(5x)-7x ?
The derivative of y=7x*ln(5x)-7x is 7ln(5x)
What is the first derivative of y=7x*ln(5x)-7x ?
The first derivative of y=7x*ln(5x)-7x is 7ln(5x)