Question
In: Math
a. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C...
a. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
f(x) = x2 − 5x + 4
b. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
f(x) = x(18x + 4)
c. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
f(x) = 7x2/5 + 8x−4/5
d. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
f(x) = sqaureroot 2
e. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative. Remember to use absolute values where appropriate.)
f(x) = 4/5-6/x, x > 0
f. Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
g(v) = 5 cos(v) − 9/squareroot(1-v^2)
g. Find f.
f ''(x) = −2 + 12x − 12x2, f(0) = 9, f '(0) = 18
Solutions
milcah answered 2 years agoRelated Solutions
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for...
Find the most general antiderivative of the function. (Check
your answer by differentiation. Use C for the constant of
the antiderivative.)
f(x) =
9
x8
f(x)=
f '(t) = sec(t)(sec(t) + tan(t)), −− π/ 2
< t < π/ 2 , f ( π/ 4) = −3
f(t)=
Find f. f '''(x) = cos(x), f(0)
= 2, f '(0) = 3, f
''(0) = 5
f(x)=
A company estimates that the marginal cost (in dollars per item)
of producing x items is 1.67 −...
use the elimination method to find the general solution for the given linear system where differentiation...
use the elimination method to find the general solution for the
given linear system where differentiation is with respect to t.
2x'+y'-x-2y=e^-t and x'+y'+2x+2y==e^t
Use the elimination method to find a general solution for the given linear system, where differentiation...
Use the elimination method to find a general solution for the
given linear system, where differentiation is with respect to
t.
x'=9x-2y+sin(t)
y'=25x-y-cos(t)
Use the elimination method to find a general solution for the given linear system, where differentiation...
Use the elimination method to find a general solution for the
given linear system, where differentiation is with respect to
t.
x'=5x-6y+sin(t)
y'=3x-y-cos(t)
A) Find the derivative of the function f by using the rules of differentiation. f(x) =...
A) Find the derivative of the function f by using the
rules of differentiation.
f(x) = 380
B)Find the derivative of the function f by using the
rules of differentiation.
f(x) = x0.8
C) Find the derivative
of the function f by using the rules of
differentiation.
D)Find the derivative of the function.
f(u) =
10
u
E)Find the derivative of the function f by using the
rules of differentiation.
f(x) = 9x3 -
2x2 + 1
u
u
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-Use implicit differentiation to find dy/dx where
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-Find the first and second derivatives of p(x) = 6
ln(x2+3x)
-A balloon is rising vertically at a constant speed of 5 ft/sec.
A boy is
cycling along a straight road at a speed of 15 ft/sec. When he
passes
under the balloon, it is 45 ft above him.How fast is the
distance between
the boy...
Use the function f(x) = 2x3 - 6x2. Clearly mark your answer for each part. Find...
Use the function f(x) = 2x3 - 6x2. Clearly mark your answer for
each part.
Find the x and y intercepts. Give your answer as points.
State the intervals of increase and decrease.
State the local maximum and minimum points.
State the intervals of concave up and concave down.
State any in ection points.
Graph the function. Label any relevant points found in the above
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part 1)
Use implicit differentiation to find an equation of the tangent line to the curve
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Tangent Line Equation: y=
part 2)
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y=
part 3)
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(x^2/36)+(y^2/81)=1
at the point (−3,(−9/2)√3)
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m= and b=...
Use implicit differentiation to find an equation of the tangent line to the curve at the...
Use implicit differentiation to find an equation of the tangent
line to the curve at the given point.
x2 + y2 = (5x2 + 2y2
− x)2
(0, 0.5)
(cardioid)
y =
√xy+2x=√y . Use implicit differentiation to find y’.
√xy+2x=√y . Use implicit differentiation to find y’.
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