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.

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116