Integration and Differentiation In Exercises 5 and 6, verify the statement by showing that the derivative of the right side equals the integrand on the left side. ∫ ( 8 x 3 + 1 2 x 2 ) d x = 2 x 4 − 1 2 x + C
Integration and Differentiation In Exercises 5 and 6, verify the statement by showing that the derivative of the right side equals the integrand on the left side. ∫ ( 8 x 3 + 1 2 x 2 ) d x = 2 x 4 − 1 2 x + C
Solution Summary: The author explains the formula used to prove the statement 'displaystyle int' — the derivative of a function is given as nxn-1.
Integration and Differentiation In Exercises 5 and 6, verify the statement by showing that the derivative of the right side equals the integrand on the left side.
∫
(
8
x
3
+
1
2
x
2
)
d
x
=
2
x
4
−
1
2
x
+
C
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
Expand each function (using the appropiate technique/formula) Compute the derivative of the expanded function by applying the differentiation rules
f(x)= (x+5)2
f(x)= (4x2-3)2
Expand each function (using the appropiate technique/formula) Compute the derivative of the expanded function by applying the differentiation rules
f(x) = (x2+2x+3)2
f(x)= (3x-2)3
f(x)= sin(2x)
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