Implicit Derivatives
Find dy/dx of
3x=y^2+7
dy/dx=3/(2y)
Find the derivative of
y=7x+sqrtx-1/(x^4)
y'= 7+1/2x^-(1/2)+4x^-5
Find the derivative of
y=xe^x
y=xe^x+e^x
lim_(x->-5)(x^2+x-20)/(x+5)
-9
Find the tangent line at x=2 to
y=x^2+7x-1
(y-17)=11(x-2)
Find dy/dx of
12x^2=y^2+5y
dy/dx=(24x)/(2y+5)
Find the derivative of
y=e^(4x^5)
y'= 20x^4e^(x^5)
Find the derivative of
y=tanx/(x^2)
y'=(x^2sec^2(x)-2xtanx)/x^4
lim_(x->oo)x/(e^x)
0
If f(1) = 4 and f'(1) = 8 and f'(4) = 7 and g is the inverse of f, find g'(4).
1/8
Which part of the equation, would you set equal to 0 to find vertical asymptotes?
dy/dx=(x+3)/(y-2)
Denominator (y-2)
Find the derivative of
y=sec(x^3)
y'=3x^2sec(x^3)tan(x^3)
Find the derivative of
y=sqrt(x^5+9x-1)
y'=(5x^4+9)/(2sqrt(x^5+9x-1)
lim_(x->0)xcotx
1
Find the values of a and b to make the function differentiable at x=1
{(ax^2 +6),(bx-2):}
a = 8 and b=16
Find dx/dy of
7y^2=2x^3
dx/dy=(14y)/(6x^2)=(7y)/(3x^2)
Find derivative of
y=6^sinx
y'=(cosx)6^sinxln6
Find the derivative of the following
y=cos^3(x^2+1)
y'=-6xcos^2(x^2+1)sin(x^2+1)
lim_(x->oo)x^(1/x)
1
A tangent line through the point (1, 5) is y=5. What is the equation of the normal line?
x=1
Find the second derivative at (1,2) of
x^2+y^2=5
-5/8
Find derivative of
y=3log_5(x+1)
y'=3/(ln5(x+1))
Find the derivative of
y=tan^2(sin(x^3))
6x^2tan(sin(x^3))sec^2(sin(x^3)cos(x^3)
lim_(x->oo)x^(1/lnx)
e
List the 5 indeterminate forms of L'hopital's Rule
0*oo, oo-oo, 1^oo, oo^0, 0^0