Product Rule
Derivative of f(x)=(13x)(7x + 1) without simplifying
(13)(7x + 1) + (13x)(7)
Derivative of f(x) = x/x in simplified form
0
Derivative of f(x) = 7x
7
Derivative of f(x) = (-2x + 5)4 without simplifying
4(-2x + 5)3(-2)
Given the function f(x) = 52x, find f''(x) in simplified form
0
Derivative of f(x)=(−7x3 − 1 + 2x−2)(2x2 − 3) without simplifying
f′(x)=(−21x2 − 4x-3)(2x2 − 3) + (4x)(−7x3 − 1 + 2x−2)
Derivative of f(x) = (x - 1)/x2 in simplified form
- (x - 2)/x3
Derivative of f(x) = -2x5
-10x4
Derivative of f(x) = (8x2 + 5x)3 without simplifying
3(8x2 + 5x)2(16x + 5)
Given the function f(x) = x4, find f''(x) in simplified form
12x2
Derivative of f(x) = x cos(x) without simplifying
(1)(cosx) + (−sinx)(x)
Derivative of f(x) = 3x/(5x - 1) in simplified form
- 3/(5x - 1)2
Derivative of f(x) = -2/x3
6/x4 OR 6x-4
Derivative of f(x) = 5(7x - 9)5 without simplifying
25(7x - 9)4(7)
Given the function f(x) = 5x3 + x, find f'''(x) in simplified form
30
Derivative of f(x)=(x − 3)sin(x) without simplifying
(1)(sin(x)) + (cos(x))(x − 3)
Derivative of f(x) = x/(3 − 5x3) in simplified form
(10x3 + 3)/(3 - 5x3)2
Given the function f(x)=6/5x + 6sqrt(x3), find f'(1).
39/5
Derivative of f(x) = log5(-4x6 - 4x5) without simplifying
(1 / ((-4x6 - 4x5)ln(5))) (-24x5 - 20x4)
Given the function f(x) = (2/3)x4 + (1/3)x + (1/2)x-3 + (1/6)x6, find f''(x) in simplified form
8x2 + 6x−5 + 5x4
Derivative of f(x) = x2 − 3x2 sin(x) without simplifying
2x − 6x sin(x) − 3x2 cos(x)
Derivative of f(x) = (1 - 3x)/(2 + x2) in simplified form
(3x2 - 2x - 6)/(2 + x2)2
Given the function f(x)=sqrt(x)/4 - 5/x, find f'(1).
41/8
Derivative of f(x) = 39x^5 without simplifying
(39x^5)ln(3)(45x4)
Given the function f(x) = (2/15)x6 - (2/9) + (5/3)x3, find f'''(x) in simplified form
16x3 + 10