What is the derivative of (a+b-5x^2+(b+c-7)x+(a+c)) ?

The derivative of (a+b-5x^2+(b+c-7)x+(a+c)) is 2x(a+b-5)+b+c-7

What is the first derivative of (a+b-5x^2+(b+c-7)x+(a+c)) ?

The first derivative of (a+b-5x^2+(b+c-7)x+(a+c)) is 2x(a+b-5)+b+c-7

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\frac{d}{d x} ((a + b - 5) x^{2} + (b + c - 7) x + (a + c))

2 x (a + b - 5) + b + c - 7

Solution steps

\frac{d}{d x} ((a + b - 5) x^{2} + (b + c - 7) x + (a + c))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} ((a + b - 5) x^{2}) + \frac{d}{d x} ((b + c - 7) x) + \frac{d a}{d x} + \frac{d c}{d x}

\frac{d}{d x} ((a + b - 5) x^{2}) = 2 x (a + b - 5)

\frac{d}{d x} ((b + c - 7) x) = b + c - 7

\frac{d a}{d x} = 0

\frac{d c}{d x} = 0

= 2 x (a + b - 5) + b + c - 7 + 0 + 0

Simplify

= 2 x (a + b - 5) + b + c - 7

f (x) = x + \frac{3}{x}, at x = 3

(- 5.6) (- 2.5)

\frac{2}{7}

\frac{d}{d x} (tan (x) + cos^{2} (x) + sin^{2} (x) - 3)

\int \frac{x - 1}{2 x} d x

What is the derivative of (a+b-5x^2+(b+c-7)x+(a+c)) ?
The derivative of (a+b-5x^2+(b+c-7)x+(a+c)) is 2x(a+b-5)+b+c-7
What is the first derivative of (a+b-5x^2+(b+c-7)x+(a+c)) ?
The first derivative of (a+b-5x^2+(b+c-7)x+(a+c)) is 2x(a+b-5)+b+c-7