Find the intervals on which the function y=x^x,(x>0) is increasin… - Vidyadip

Question

Find the intervals on which the function $y=x^x,(x>0)$ is increasing and decreasing.

✓

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the Following Question.(4 Marks)" from Applications of Derivatives→Applications of Derivatives — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Differentiate the following w.r.t. x:

$\left(x^2+3\right)^{\frac{3}{2}} \cdot \sin ^3 2 x \cdot 2^{x^2}$

A box with a square base is to have an open top. The surface area of the box is $192$ sq cm. What should be its dimensions in order that the volume is largest?

Evaluate : $\int \sqrt{a^2+x^2} \cdot d x=\frac{x}{2} \cdot \sqrt{x^2+a^2}+\frac{a^2}{2} \cdot \log \left(x+\sqrt{x^2+a^2}\right)+c$

Evalaute : $\int_2^3 7^x \cdot d x$

Solve the following equations by the method of inversion $x – y + z = 4, 2x + y –3z = 0, x + y + z = 2.$

The surface area of a spherical balloon is increasing at the rate of $2 \ cm ^2 \sec$. At what rate the volume of the balloon is increasing when the radius of the balloon is $6 \ cm$ ?

Find $\frac{d y}{d x}$, if

$x=2 \cos t+\cos 2 t, y=2 \sin t-\sin 2 t$ at $t=\frac{\pi}{4}$

Find the area enclosed between the circle $x^2+y^2=1$ and the line $x+y=1$, lying in the

first quadrant.

A point source of light is hung 30 feet directly above a straight horizontal path on which a man of 6 feet in height is walking. How fast will the man's shadow lengthen and how fast will the tip of shadow move when he is walking away from the light at the rate of $100 ft / min$.

Write the following statements in symbolic form

Milk is white if and only if the sky is not blue