What is the derivative of 4x^2+2x+1n(x-3x^2-7x-3) ?

The derivative of 4x^2+2x+1n(x-3x^2-7x-3) is 2x+n-5

What is the first derivative of 4x^2+2x+1n(x-3x^2-7x-3) ?

The first derivative of 4x^2+2x+1n(x-3x^2-7x-3) is 2x+n-5

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\frac{d}{d x} (4 x^{2} + 2 x + 1 n (x) - 3 x^{2} - 7 x - 3)

2 x + n - 5

Solution steps

\frac{d}{d x} (4 x^{2} + 2 x + 1 \cdot n (x) - 3 x^{2} - 7 x - 3)

Simplify

4 x^{2} + 2 x + 1 \cdot n (x) - 3 x^{2} - 7 x - 3 : x^{2} + n x - 5 x - 3

= \frac{d}{d x} (x^{2} + n x - 5 x - 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (n x) - \frac{d}{d x} (5 x) - \frac{d}{d x} (3)

\frac{d}{d x} (x^{2}) = 2 x

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

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

\frac{d}{d x} (3) = 0

= 2 x + n - 5 - 0

Simplify

= 2 x + n - 5

What is the derivative of 4x^2+2x+1n(x-3x^2-7x-3) ?
The derivative of 4x^2+2x+1n(x-3x^2-7x-3) is 2x+n-5
What is the first derivative of 4x^2+2x+1n(x-3x^2-7x-3) ?
The first derivative of 4x^2+2x+1n(x-3x^2-7x-3) is 2x+n-5