MATH 11012 Intuitive Calculus KSU
Differentiation the Easy Way
Differentiate each function. Rewrite it first in the form y=axn. Then use the constant multiple and power rules to
differentiate. Finally, simplify your answer, if possible.
Do not use the product, quotient, or chain rules for any of these.
function function rewritten derivative derivative simplified
1y=x2
·x10 =dy
dx = =
2y=x5
·x20 =dy
dx = =
3y=x3
x5=dy
dx = =
4y=x7
x10 =dy
dx = =
5y=x
5=dy
dx = =
6y=x
12 =dy
dx = =
7y=5
x=dy
dx = =
8y=12
x=dy
dx = =
9y=1
5x=dy
dx = =
10 y=1
12x=dy
dx = =
11 y=x2
3=dy
dx = =
12 y=x3
7=dy
dx = =
13 y=3
x2=dy
dx = =
14 y=7
x3=dy
dx = =
15 y=1
3x2=dy
dx = =
1
