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f(x) = c, where c is constant, has a derivative of zero.
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If second derivative is 0 and third derivative is 0 What is true about that point?
If the second derivative of a function is zero, then the function has a constant slope, and that function is linear. Therefore, any point that belongs to that function lies on a line.
What is the second derivative of a function's indefinite integral?
well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.
What is the derivative of x-1?
The derivative of a linear function is always its gradientIn the function y = x-1, the gradient is 1 as 1 is the co-efficient of 1x.
What is the derivative of 1/x?
The derivative of a linear function is always its gradientIn the function y = x-1, the gradient is 1 as 1 is the co-efficient of 1x.
What is the derivative of f of x equals 1?
f(x)=1 f'(x)=0 because the derivative of a constant is ALWAYS 0.
What is the derivative of square root of 2?
the derivative is 0. the derivative of a constant is always 0.
If second derivative is 0 and third derivative is 0 What is true about that point?
If the second derivative of a function is zero, then the function has a constant slope, and that function is linear. Therefore, any point that belongs to that function lies on a line.
What characteristics of the graph of a function by using the concept of differentiation first and second derivatives?
If the first derivative of a function is greater than 0 on an interval, then the function is increasing on that interval. If the first derivative of a function is less than 0 on an interval, then the function is decreasing on that interval. If the second derivative of a function is greater than 0 on an interval, then the function is concave up on that interval. If the second derivative of a function is less than 0 on an interval, then the function is concave down on that interval.
What is the derivative of just a constant?
0 A derivative is the rate of change of a function as another variable changes. As there is no change to a constant, the derivative is necessarily 0.
Prove that a constant vector always has a perpendicular derivative?
A dot A = A2 do a derivative of both sides derivative (A) dot A + A dot derivative(A) =0 2(derivative (A) dot A)=0 (derivative (A) dot A)=0 A * derivative (A) * cos (theta) =0 => theta =90 A and derivative (A) are perpendicular
What is the derivative of 2001?
derivative of a constant is 0, because the function of a constant is a line with no change in slope, so d2011/dx=0
What is the derivative for x to the power of 0?
x^0 = 1 for all x. The derivative of 1 is always zero.
What is the second derivative of a function's indefinite integral?
well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.
What is the derivative of -1?
The derivative of a linear function is always its gradientIn the function y = x-1, the gradient is 1 as 1 is the co-efficient of 1x.
What is the derivative of x-1?
The derivative of a linear function is always its gradientIn the function y = x-1, the gradient is 1 as 1 is the co-efficient of 1x.
What is the derivative of 1/x?
The derivative of a linear function is always its gradientIn the function y = x-1, the gradient is 1 as 1 is the co-efficient of 1x.
What is a derivative in calculus?
When you take the derivative of a function, you are seeking a variation of that function that provides you with the slope of the tangent (instantaneous slope) at any value of (x). For example, the derivative of the function f(x)=x^2 is f'(x)=2x. Notice that the derivative is denoted by the apostrophe inside the f and (x). Also note that at x=0, f'(x)=0, which means that at x=0 the slope of the tangent is zero, which is correct for the function y=x^2.
