What is the derivative of f(x)=4xln(x)-7x ?

The derivative of f(x)=4xln(x)-7x is 4ln(x)-3

What is the first derivative of f(x)=4xln(x)-7x ?

The first derivative of f(x)=4xln(x)-7x is 4ln(x)-3

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derivative of

f (x) = 4 x ln (x) - 7 x

4 ln (x) - 3

Solution steps

\frac{d}{d x} (4 x ln (x) - 7 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x ln (x)) - \frac{d}{d x} (7 x)

\frac{d}{d x} (4 x ln (x)) = 4 (ln (x) + 1)

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

= 4 (ln (x) + 1) - 7

Simplify

4 (ln (x) + 1) - 7 : 4 ln (x) - 3

= 4 ln (x) - 3

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

\int 2 x^{2} - 5 d x

(x^{2} \cdot 6^{x})^{3}

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

What is the derivative of f(x)=4xln(x)-7x ?
The derivative of f(x)=4xln(x)-7x is 4ln(x)-3
What is the first derivative of f(x)=4xln(x)-7x ?
The first derivative of f(x)=4xln(x)-7x is 4ln(x)-3