Question

differentiate 6+4x-x^2​

Answer 1

Step-by-step explanation:

$\frac{d}{dx} (6 + 4x + {x}^{2} )$

$\frac{d}{dx} (6) + \frac{d}{dx} (4x) + \frac{d}{dx} {x}^{2}$

$4 + 2x$

Answer 2

The expression's derivative is:

d/dx [6 + 4x - x^2] = d/dx [6] + d/dx [4x] - d/dx [x^2]

= 0 + 4 - 2x

• Result, 4 - 2x is the derivative of 6 + 4x - x2 with regard to x. This indicates that the constant term has no effect on the rate of change and that when x grows, the rate of change of the expression drops by 2 units for every unit increase in x.

• Remembering the power rule of differentiation, which states that if we have a function of the type f(x) = xn, then its derivative is f'(x) = nx, can help us differentiate the formula 6 + 4x - x2 (n-1).

• We may determine the derivative of each term in the equation by applying this rule. As the derivative of any constant is zero, the derivative of the constant term 6 is also zero. Since the derivative of x equals 1, the derivative of 4x is just 4. Using the differentiation formula's power rule, the derivative of x2 is 2x.

For more questions on Maths

https://brainly.in/question/21636032

#SPJ3