What is the maximum and minimum value of the function sin x cos x?

The minimum value of sinx is -1 and the minimum value of y is -√2.

What are the maximum and minimum values of Cos Cos X?

Note: Cosine is a decreasing function from o to $\pi$. It has maximum value 1 when $x={{0}^{\circ }}$ and minimum value -1 when $x={\pi }$. So we can also say \[\cos (\cos x)\] will have a maximum value when cos(x) has value 0.

What is the maximum value of f/x sin x cos x )?

So the max value of our expression is 1.414. its sqrt2. U can divide and multiply sinx + cosx by sqrt2.

What is the maximum value of sin x cos x in 0 to 2pi?

Splitting 2 into $\sqrt{2}\times \sqrt{2}$ we get, $f\left( \dfrac{3\pi }{4} \right)=\dfrac{\sqrt{2}\times \sqrt{2}}{\sqrt{2}}=\sqrt{2}$. Hence the maximum value of sinx-cosx is $\sqrt{2}$.

What is the maximum value of the function sin x?

Maximum value of (sinx)sinx is 0.

What is the maximum value of cos A?

Maximum value of cos θ is 1 when θ = 0 ˚, 360˚. Minimum value of cos θ is –1 when θ = 180 ˚.

What is the minimum value of sin x?

The maximum value is +1, and the Minimum value is -1.

What is maxima and minima of a function?

5.1 Maxima and Minima A local maximum point on a function is a point (x, y) on the graph of the function whose y coordinate is larger than all other y coordinates on the graph at points “close to” (x, y).

How do you find the local maximum and minimum of X?

Subtract π π from 4 π 4 π. The solution to the equation x = π 2 x = π 2. Evaluate the second derivative at x = π 2 x = π 2. If the second derivative is positive, then this is a local minimum. If it is negative, then this is a local maximum.

What is the maximum and minimum of the derivative at 0?

The derivative of f is f ′ ( x) = 3 x 2, and f ′ ( 0) = 0, but there is neither a maximum nor minimum at ( 0, 0) . Figure 5.1.2. No maximum or minimum even though the derivative is zero. Since the derivative is zero or undefined at both local maximum and local minimum points, we need a way to determine which, if either, actually occurs.

How do you find the absolute maximum and absolute minimum?

To find the absolute maximum and absolute minimum, follow these steps: 1. Find the the critical points of f on D. 2. Find the extreme values of f on the boundary of D. 3. The largest of the values from steps 1 and 2 is the absolute maximum value; the smallest of these values is the absolute minimum value. 140 of 155