What is the derivative of 0??
Answers
Answer:
The derivative of 0 is 0. In general, we have the following rule for finding the derivative of a constant function, f(x) = a.
Step-by-step explanation:
In more mathematical terms you can say that at 0 the right hand derivative and the left hand derivative are not equal at 0. So the derivative doesn't exist.
The derivative f'(x) is the rate of change of the value of function relative to the change of x. So f'(x0) = 0 means that function f(x) is almost constant around the value x0. ... Having a derivative means that a function can change only gradually.
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Answer:
What is the derivative of 0 is 0 only
Step-by-step explanation:
Math
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Solution!!
→ x - 2√x - 8 = 0
Move the expression to the right-hand side and change its sign
→ -2√x = 8 - x
Square both sides of the equation
→ (-2√x)² = (8 - x)²
→ (-2)²(√x)² = (8)² + (x)² - 2(8)(x)
→ 4x = 64 + x² - 16x
Move the expression to the left-hand side and
change its sign
→ - x² + 4x + 16x - 64 = 0
Factor out -x and 16 from the expression
→ - x(x - 4) + 16(x - 4) = 0
Factor out -x + 16 from the expression
→ (- x + 16)(x - 4) = 0
Now atleast one of the factors is zero.
→ - x + 16 = 0
→ x - 4 = 0
→ x = 16
→ x = 4
Now, let's check if the value is the solution of the equation.
→ 16 - 2√16 - 8 = 0
→ 4 - 2√4 - 8 = 0
→ 16 - 2(4) - 8 = 0
→ 4 - 2(2) - 8 = 0
→ 16 - 8 - 8 = 0
→ 4 - 4 - 8 = 0
→ 16 - 16 = 0
→ 4 - 12 = 0
→ 0 = 0
→ -8 ≠ 0
Hence, the value of x is 16.