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. ∫ ( − 6 x 4 ) d x = 2 x 3 + 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. ∫ ( − 6 x 4 ) d x = 2 x 3 + C
Solution Summary: The author proves that the derivative of the right-hand side equals to the integrand on the left side.
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.
∫
(
−
6
x
4
)
d
x
=
2
x
3
+
C
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Finding a Derivative In Exercises 13–32, findthe derivative of the function.
h(s)=-2 \sqrt{5 s^{2}+3}
Calculus 11th Edition - Ron Larson
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Find the tangent line approximationT to the graph of f at the given point. Thencomplete the table.
Finding a Derivative In Exercises 97–102, find dydx byimplicit differentiation.97. x2 + y2 = 64
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