What is the derivative of 6?

Explanation: The derivative of a constant is zero. Think about it like this: y = 6 is a horizontal line. Thus, the derivative, or slope, is zero because the line remains flat forever (when x changes).
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What is the derivative of six?

Calculus Examples

Since 6 is constant with respect to , the derivative of 6 with respect to is 0 .
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What is a derivative of 5?

The derivative of f(x)=5 is 0 .
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What is the derivative of 10?

Calculus Examples

Since 10 is constant with respect to x , the derivative of 10 with respect to x is 0 .
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What is the derivative of Ln 6?

ln6 is a constant, so its derivative is 0 .
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Definition of the Derivative



What is the derivative of ln 2x?

The derivative of ln2x is mathematically written as d[ln(2x)] / dx = 1/x.
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What is the derivative of 4?

Since 4 is constant with respect to x , the derivative of 4 with respect to x is 0 .
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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 .
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What is the derivative of 1?

Derivative of 1 is zero. Reason: Derivative of a constant term is always zero.
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What is the derivative of 4x?

The derivative of 4x is 4.
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What is the derivative of y =- 6?

The derivative of a constant is zero. Think about it like this: y = 6 is a horizontal line. Thus, the derivative, or slope, is zero because the line remains flat forever (when x changes).
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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.
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What are the derivatives of the 6 trig functions?

The differentiation formulas of the six trigonometric functions are listed below:
  • Derivation of sin x: (sin x)' = cos x.
  • Derivative of cos x: (cos x)' = -sin x.
  • Derivative of tan x: (tan x)' = sec2 x.
  • Derivative of cot x: (cot x)' = -cosec2 x.
  • Derivative of sec x: (sec x)' = sec x.
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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.
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What is the derivative of y 2?

For example, according to the chain rule, the derivative of y² would be 2y⋅(dy/dx).
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What is the derivative of 4 T?

Since 4 is constant with respect to t , the derivative of 4t with respect to t is 4ddt[t] 4 d d t [ t ] .
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What is the derivative of e 4?

Since e4 is constant with respect to x , the derivative of e4 with respect to x is 0 .
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Is the derivative of e 0?

Calculus Examples

Anything raised to 0 is 1 . Since 1 is constant with respect to x , the derivative of 1 with respect to x is 0 .
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What is the derivative of ln 3?

Since ln(3) is constant with respect to x , the derivative of ln(3) with respect to x is 0 .
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