Finding higher-order derivatives in exercise, find the second derivative of the function.
f(x) = log10 x

Step-by-step explanation:

Given is a function in f as

We can change base to e for our convenience for finding derivatives

The second term is a constant with value = 0.434294

So f(x) = 0.434294 ln x

Now differentiate with respect to x two times

I derivative =

Note: We can leave as log e to base 10 also without converting into actual values.

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.