What is the derivative of 7^x(-6x+2/x) ?

The derivative of 7^x(-6x+2/x) is 7^xln(7)(-6x+2/x)+(-6-2/(x^2))*7^x

What is the first derivative of 7^x(-6x+2/x) ?

The first derivative of 7^x(-6x+2/x) is 7^xln(7)(-6x+2/x)+(-6-2/(x^2))*7^x

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\frac{d}{d x} (7^{x} (- 6 x + \frac{2}{x}))

7^{x} ln (7) (- 6 x + \frac{2}{x}) + (- 6 - \frac{2}{x ^{2}}) \cdot 7^{x}

Solution steps

\frac{d}{d x} (7^{x} (- 6 x + \frac{2}{x}))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = 7^{x}, g = - 6 x + \frac{2}{x}

= \frac{d}{d x} (7^{x}) (- 6 x + \frac{2}{x}) + \frac{d}{d x} (- 6 x + \frac{2}{x}) 7^{x}

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

\frac{d}{d x} (- 6 x + \frac{2}{x}) = - 6 - \frac{2}{x ^{2}}

= 7^{x} ln (7) (- 6 x + \frac{2}{x}) + (- 6 - \frac{2}{x ^{2}}) \cdot 7^{x}

\frac{\partial}{\partial x} (2 x \cdot sin (9 x^{2} y))

\int \frac{1}{25 x ^{2} + 1} d x

n = 1 \sum \infty \frac{3}{4 + 6 n}

n = 1 \sum \infty \frac{2}{3 n + 5}

sin (x) d x + y d y = 0

What is the derivative of 7^x(-6x+2/x) ?
The derivative of 7^x(-6x+2/x) is 7^xln(7)(-6x+2/x)+(-6-2/(x^2))*7^x
What is the first derivative of 7^x(-6x+2/x) ?
The first derivative of 7^x(-6x+2/x) is 7^xln(7)(-6x+2/x)+(-6-2/(x^2))*7^x