Question

Find the antiderivative

f(x) = 3x^2 + 4x + 5

f(x) = 3 cos x

f(x) = e^2x + 4x^3

f(x) = sec^2 x

Answer #1

1. Given f(x)=2x^3-3x^2+4x+2, find (f^(-1))'(14).
Differentiate and Simplify
2. f(x)=ln(3x) e^(-x^2 ) (Answer with positive exponents
Integrate and Simplify 3. ∫▒(6x^2-5x)/√x dx

Find (f −1 (a))' :
(a) f(x) = 2x 3 + 3x 2 + 7x + 4, a = 4
(b) f(x) = 2x + cos(x), a = 1

Solve the following
a) 2 cos^2(4x) + 5 cos(4x) + 2 = 0.
b) arctan(3x + 3) = π/4
c) 2^1+sin^2(x) = 4^sin(x)
d) ln(x + 3) = ln(x) + ln(3)

1. Let f(x)=−x^2+13x+4
a.Find the derivative f '(x)
b. Find f '(−3)
2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded
to 2 decimal places.
f '(3)=
3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x).
f '(x)=
4. Find the derivative of the function f(x)=√x−5/x^4
f '(x)=
5. Find the derivative of the function f(x)=2x−5/3x−3
f '(x)=
6. Find the derivative of the function
g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your
answer.
g '(x)=
7. Let f(x)=(−x^2+x+3)^5
a. Find the derivative....

find the following for the function f(x)=3x^2+4x-4
a. f(0) b. f(3) c. f(-3) d. f(-x) e. -f(x) f. f(x+2) g. f(4x) h.
f(x+h)

f(x) = 3x^4-4x^3-3x^2-x-2
find the rational roots by the rational root test

find y' for the function
1. (y-2)^7=3x^2+2x-2
2. 3y^3+2x^3=3
3.(4y^2+3)^4+3x^5-5=0
4. 4x^2+3x^2y^2-y^3=3x

Find fhe equation of the tangent lines with slope of 5
a) f(x)= x^3 + 3x^2 - 4x -12
b) g(x)= 3x^2 + 6x - 4

1) Find the antiderivative if f′(x)=x^6−2x^−2+5 and f(1)=0
2)Find the position function if the velocity is v(t)=4sin(4t)
and s(0)=0

Hi, please solve this below antiderivatives ( integration)
questions. Thanks
Find the antiderivative using proper symbolism ( BIG S and dx)
Show detail steps
1- ln( e )^ x squared
2- sinx cosx
3- cos x / sin x
4- 3x ^ 3 - 4 x ^ 2 + 7x. + pi
5- ( sec x ) ^ 2 tanx
6- 3 ^ 1/2 - 4 x ^ -2
7- ( 2x ^ 2 - 8x ) ( 2x -4...

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