What is the derivative of 4?

Since 4 is constant with respect to x , the derivative of 4 with respect to x is 0 .

What is the derivative of 6?

Calculus Examples

Since 6 is constant with respect to , the derivative of 6 with respect to is 0 .

What is the derivative of 2?

2 is a constant whose value never changes. Thus, the derivative of any constant, such as 2 , is 0 .

What is the derivative of 5?

The derivative of f(x)=5 is 0 .

What is the derivative of y 4?

−4 is a constant—that is, it never changes. Thus, its derivative is 0 , as is the derivative of any other constant. For more explanations as to why the derivative of a constant is always 0 , read the answers here.

Definition of the Derivative

What is derivative 4x?

The derivative of 4x is 4.

What is the derivative of 1?

Derivative of 1 is zero. Reason: Derivative of a constant term is always zero.

What is the derivative of 2x?

The derivative of 2x is equal to 2 as the formula for the derivative of a straight line function f(x) = ax + b is given by f'(x) = a, where a, b are real numbers. Differentiation of 2x is calculated using the formula d(ax+b)/dx = a.

What is the derivative of 0?

It's 0 because f(x)=0 is a constant function. In particular, one should learn that differentiation is a linear operator, and applying any linear operator to zero always returns zero. Zero has no derivative.

How do you find the derivative of 10?

Calculus Examples

Since 10 is constant with respect to x , the derivative of 10 with respect to x is 0 .

Can you take a derivative of a number?

The derivative of any constant (which is just a way of saying any number), is zero. This is easy enough to remember, but if you are a student currently taking calculus, you need to remember the many different forms a constant can take.

What is the derivative of infinity?

Since ∞ is constant with respect to x , the derivative of ∞ with respect to x is 0 .

Can a derivative be negative?

The sign of the derivative will indicate negative when the function is decreasing and positive when the function is increasing.

What's the derivative of sin2x?

The derivative of sin 2x is 2 cos 2x.

What is the derivative of 1x?

So, the derivative of 1/x is -1/x².

What is the derivative of e 2?

Thus, the derivative of any constant, such as e2 , is 0 .