The correct option is D cos√(x)4√(xsin√(x)) ddx(√(sin√(x))) 1√(sin√(x))(cos√(x))12√(x)=cos√(x)4√(xsin√(x)) ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Chain Rule of Differentiation

Solve ddx√s...

Question

Solve $\frac{d}{d x} (\sqrt{sin \sqrt{x}})$

\frac{cos \sqrt{x}}{4 \sqrt{sin \sqrt{x}}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{sin \sqrt{x}}{4 \sqrt{x cos \sqrt{x}}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{cos \sqrt{x}}{4 \sqrt{x sin \sqrt{x}}}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{- tan \sqrt{x}}{4 \sqrt{x cos \sqrt{x}}}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $\frac{cos \sqrt{x}}{4 \sqrt{x sin \sqrt{x}}}$
$\frac{d}{d x} (\sqrt{sin \sqrt{x}})$
$\frac{1}{\sqrt{sin \sqrt{x}}} (cos \sqrt{x}) \frac{1}{2 \sqrt{x}} = \frac{cos \sqrt{x}}{4 \sqrt{x sin \sqrt{x}}}$

Suggest Corrections

Similar questions

$\frac{d}{d x} (\sqrt{c o s \sqrt{x}}) =$

Q. The integral

\int \frac{s i n^{2} x c o s^{2} x}{(s i n^{5} x + c o s^{3} x s i n^{2} x + s i n^{3} x c o s^{2} x + c o s^{5} x)^{2}} d x

is equal to

The number of distinct real roots of $∣ ∣ ∣ ∣ \begin{matrix} s i n x & c o s x & c o s x c o s x & s i n x & c o s x c o s x & c o s x & s i n x \end{matrix} ∣ ∣ ∣ ∣ = 0$ in the interval $- \frac{π}{4} \leq x \leq \frac{π}{4}$ is

(a) 0
(b) 2
(c) 1
(d) 3

\frac{d}{d x} [\sqrt{sin \sqrt{x}}] =

Q. The number of distinct real roots of

∣ ∣ ∣ ∣ \begin{matrix} sin x & cos x & cos x cos x & sin x & cos x cos x & cos x & sin x \end{matrix} ∣ ∣ ∣ ∣ = 0

in the interval

- \frac{π}{4} \leq x \leq \frac{π}{4}

Join BYJU'S Learning Program

Solve ddx(√sin√x)

The correct option is D cos√x4√xsin√xddx(√sin√x)1√sin√x(cos√x)12√x=cos√x4√xsin√x

Solve $\frac{d}{d x} (\sqrt{sin \sqrt{x}})$

The correct option is D $\frac{cos \sqrt{x}}{4 \sqrt{x sin \sqrt{x}}}$
$\frac{d}{d x} (\sqrt{sin \sqrt{x}})$
$\frac{1}{\sqrt{sin \sqrt{x}}} (cos \sqrt{x}) \frac{1}{2 \sqrt{x}} = \frac{cos \sqrt{x}}{4 \sqrt{x sin \sqrt{x}}}$