Homework Statement
1
⌠ | 10^(1/2)*(x^5)+(5*x^(1/5)) | dx
⌡
−1
Homework Equations
once the absolute value is gone you can just integrate the function
The Attempt at a Solution
how do you get rid of the absolute, and how do you then integrate it, do you use the product rule...
Homework Statement
simplify the following equation
((20*(4*x-1)^4)/(3*x+5)^7)-((4*x-1)^5/(21*(3*x+5)^8))
The Attempt at a Solution
i took (4*x-1)^4)/(3*x+5)^7) as a common factor and ended up with
(4*x-1)^4)/(3*x+5)^7)*(20-((4*x-1)^5/(21*(3*x+5)^8)))
can someone show me how to...
Homework Statement
a) (f ° g)′(−2) = ?
b) (g ° f)′(2) = ?
Homework Equations
f(−2) = −3,
g(−2) = −4,
f(2) = 3,
g(2) = −3,
f ′(−2) = −1,
f ′(−4) = −2,
f ′(2) = 5,
g ′(−2) = 1,
g ′(2) = 2,
g ′(3) = −4.
The Attempt at a Solution
I have no idea how to do it every thing I've tried...
Homework Statement
Find dy/dx, given
y = sin( 3 x ) cos( 6 x )
Homework Equations
product rule= f'g+g'f
The Attempt at a Solution
I used the product rule and got this, but its supposedly wrong, what have i done wrong?((3*cos(x))*(6*cos(x)))+((6*sin(-x))*(3*sin(x)))
Homework Statement
Differentiate the following function with respect to x,
p(x) = (( x+5 )^2)*(( x+3 )^7)
Homework Equations
well the product rule is,
p(x)=(f)*(g)
p'(x)= (f')*(g)+(g')*(f)
and general differentiation is,
p'(x)=n(f)^(n-1)*n(g)^(n-1)
The Attempt at a Solution
well...
Homework Statement
(For those values of x for which a solution exists), solve the following equation for y
3e^(2y−8) = (2x^5)−3
Homework Equations
1. xln e= x
The Attempt at a Solution
1.3e^(2y−8) = (2x^5)−3
2.e^(2y−8) = ((2x^5)−3)/3
3.(2y-8)ln e = (ln (2x^5)-3)/3
4.(2y-8) = (ln...