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Popular >

derivative of f(x)=3x-0.6xln(x)

Solution

derivative of

f (x) = 3 x - 0.6 x ln (x)

Solution

- 0.6 ln (x) + 2.4

Solution steps

\frac{d}{d x} (3 x - 0.6 x ln (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x) - \frac{d}{d x} (0.6 x ln (x))

\frac{d}{d x} (3 x) = 3

\frac{d}{d x} (0.6 x ln (x)) = 0.6 (ln (x) + 1)

= 3 - 0.6 (ln (x) + 1)

Simplify

3 - 0.6 (ln (x) + 1) : - 0.6 ln (x) + 2.4

= - 0.6 ln (x) + 2.4

Popular Examples

limit as x approaches 2 of x^2-8x-2

x \to 2 lim (x^{2} - 8 x - 2)

(\partial)/(\partial x)(3x^2+2xy-7y^2)

\frac{\partial}{\partial x} (3 x^{2} + 2 x y - 7 y^{2})

derivative of f(x)=3-5x^2 derivative of

f (x) = 3 - 5 x^{2}

f^{^{'}} (x) = x

derivative of sqrt(1+x^4)

\frac{d}{d x} (1 + x^{4})

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=3x-0.6xln(x) ?
The derivative of f(x)=3x-0.6xln(x) is -0.6ln(x)+2.4
What is the first derivative of f(x)=3x-0.6xln(x) ?
The first derivative of f(x)=3x-0.6xln(x) is -0.6ln(x)+2.4