Differentiate functions of other bases in exercise, find the derivative of the function.
f(x) = 10^x^2

Step-by-step explanation:

to find the derivative of the function we use the chain rule approach. which simply involves increasing x by Δx  and carrying out simple arithmetic operation.

The First step is to increase x by Δx

increase x by Δx  and and f(x) by Δf(x)

if we expand we have

if we expand we have

next we subtract f(x) from both sides

Next we divide all through by Δx

next we let the limit of Δx tends zero, we arrive at

hence the derivative of the function is

for f(x) = 10^(x^2)

df(x)/dx = (2xln(10))10^(x^2)

Step-by-step explanation:

See attachment.

idk

step-by-step explanation:

use that smart brain

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.