Slope of the Tangent
Find the slope of the tangent to f(x) = √(16x3) at the point (4,32)
f'(4) = 12
Differentiate f(x) = (2x - 1) (x2 + 1)
f'(x) = 6x2 - 2x + 2
Differentiate f(x) = (2x - 3) / (x + 5)
f'(x) = 13 / (x + 5)2
What is the derivative of f(x) = a(x)b(x)c(x)
f'(x) = a'(x)b(x)c(x) + a(x)b'(x)c(x) + a(x)b(x)c'(x)
Determine the point(s) on the function y = x3 + 2 where the slope of the tangent is 12
(2,10) and (-2,-6)
Differentiate f(x) = (x4 + x2 - 1) (x2 - 2)
f'(x) = 6x5 - 4x3 - 6x
Differentiate f(x) = (x2 - x + 1) / (x2 +3)
f'(x) = (x2 + 4x - 3) / (x2 + 3)2
Differentiate f(x) = (x2 - 4)3
f'(x) = (6x)(x2 - 4)2
Do the functions y = 2/x and y = x2 ever have the same slope? If so, where?
At x = -1
Find the slope of the tangent line of y = (1 + x - 2x2) (3x3 + x - 1) when x = 1
m = -9
Determine the slope of the function f(x) = (x2 - 25) / (x2 + 25) when x = 2
m = 200 / 841
Differentiate f(x) = (𝝅2 - x2)3
f'(x) = (-6x)(𝝅2 - x2)2
Determine an equation of the line that is tangent to the graph of f(x) = √(x+1) and is parallel to x − 6y + 4 = 0.
y = (x/6) + 5/3
Find the slope of the tangent line of y = (2 - 3√x) (4 - √x) when x = 4
m = 1/2
Find the point(s) on the function y = (2x2) / (x-4) where the tangent is horizontal
(0,0) and (8,32)
Differentiate f(x) = 1/(x2 - 16)5
f'(x) = -10x / (x2 - 16)6
Two lines are tangent to the graph of f(x) = x2 and pass through the point (1,-3). Where do these tangent lines intersect our function?
(-1,1) and (3,9)
Find the equation of the tangent line to the function y = (2 - √x) (1 + √x + 3x) at the point (1,5)
y = x + 4
Find the point(s) on the function y = (x2 - 1) / (x2 + x - 2) where the tangent is horizontal
NEVER
Differentiate f(x) = (x+4)3(x-3)6
f'(x) = 3(x + 4)2(x - 3)6 + (x + 4)3(x - 3)5