Basic
f(x)=46x+26
46
f(x)=sin(x)+cos(x)
cos(x)-sin(x)
Given f(x)=arcsin(3x), find f′(x) in simplest form.
3/(sqrt(1-9x^2)
The function ff is defined by f(x)=2x ^3 +x−4 and the point (0,−4) is on the graph of f. If f^-1 is the inverse function of f, what is the value of ( f^-1 )′(−4)?
1
If 4+y ^ 3 =−y+5y ^ 2 −3x ^2 then find dy/dx in terms of x and y
(-6x)/(1+3y^2-10y
f(x)=5x^4+6x^3
20x^3+18x^2
f(x)=3cos(x)–6sin(x)
-3sin(x)-6cos(x)
If f(x)=arctan(x),then what is the value of f′( sqrt(7)/4 ) in simplest form?
16/23
The function f is defined by f(x)=x ^3 +4x+1 . If g(x)=f^-1(x) and g(1)=0, what is the value of g′(1)?
1/4
If −5y ^ 3 =x^ 2 −3y^ 2 −5x then find dy/dx in terms of x and y
(2x-5)/(6y-15y^2
f(x)=(4x^3–7)/ x^3
21/x^4
f(x)=csc(x)+tan(x)
– csc(x)cot(x)+[sec(x)]^2
If f(x)=tan^-1( x) , then what is the value of f′( 1/5 ) in simplest form?
25/26
The function f is defined by f(x)=−x^3 +x ^2 −4x and the point (1,−4) is on the graph of f. If g is the inverse function of f, what is the value of g′(−4)?
-1/5
If y^ 2 −y−x ^ 3 −2=0 then find dy/dx in terms of x and y
(3x^2)/(2y-1
-9/(3x+4)
27/(3x+4)^2
f(x)= – 8csc(x)+7cot(x)
8csc(x)cot(x)–7[csc(x)]^2
If f(x)=arccos(x) , then what is the value of f ′ ( 1/2 ) in simplest form?
-2/(sqrt3
The function f is defined by f(x)=−x ^3 −2x−8 and the point(0,−8) is on the graph of f. If f^-1 is the inverse function of f, what is the value of (f−1)′(−8)?
-1/2
If −2y ^ 2 +x=−2x ^ 3 then find dy/dx in terms of x and y
(-6x^2-1)/(-4y)