Differentiate the following w.r.t. x: x^e+x^x+e^x+e^e - Vidyadip

Question

Differentiate the following w.r.t. x:

$x^e+x^x+e^x+e^e$

✓

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 Differentiation→Differentiation — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Find the area of the region lying between the parabolas:

$y^2=x$ and $x^2=y$

Evaluate: $\int_0^1\left(\frac{1}{1+x^2}\right) \sin ^{-1}\left(\frac{2 x}{1+x^2}\right) d x$

If $\tan ^{-1}\left(\frac{x-1}{x-2}\right)+\cot ^{-1}\left(\frac{x+2}{x+1}\right)=\frac{\pi}{4}$; find $x$.

Find the vector equation of the plane which bisects the segment joining A(2, 3, 6) and B(4, 3, −2) at right angles

Find the particular solution of the following differential equations:

$\left( x +2 y ^2\right) \frac{d y}{d x}= y$, when $x =2, y =1$

Maximize: $Z=6 x+4 y$
Subject to $x \leq 2, x+y \leq 3,-2 x+y \leq 1, x \geq 0, y \geq 0$. Also find maxdmum value of $Z$.

The cost of $2$ books, $6$ notebooks and $3$ pens is $₹ 40$ . The cost of $3$ books, $4$ notebooks and $2$ pens is $₹ 35$ , while the cost of $5$ books, $7$ notebooks and $4$ pens is $₹ 61$ . Using this information and matrix method, find the cost of $1$ book, $1$ notebook and $1$ pen separately.

Given the p.d.f. of a continuous random r.v. $X, f(x)=\frac{x^2}{3}$, for $-1<x<2$ and $=0$ otherwise. Determine c.d.f. of $X$ and hence find $P(X<1) ; P(X<-2), P(X>0), P(1<X<2)$.

Show that : $\cos ^{-1}\left(\frac{4}{5}\right)+\cos ^{-1}\left(\frac{12}{13}\right)=\cos ^{-1}\left(\frac{33}{65}\right)$

In $\triangle A B C$ with usual notations, prove that $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}=2 R$ where $R$ is the circumradius of $\triangle ABC$.