What is the derivative of the following function
f ( x ) = 15 x 2 5 f(x) = 15\sqrt[5]{x^2} f ( x ) = 15 5 x 2
Use the product rule to find the derivative of y = 5 x ( x 2 − 2 ) y = 5x(x^2 - 2) y = 5 x ( x 2 − 2 )
Use the product rule to find the derivative of y = ( 3 x 2 + 2 x ) ( 2 x 4 − 5 ) y = (3x^2 + 2x) (2x^4 - 5) y = ( 3 x 2 + 2 x ) ( 2 x 4 − 5 )
Find the first derivative of y = 2 x sin ( x 2 ) y = 2x \sin({x^2}) y = 2 x sin ( x 2 )
Find the derivative of 2 3 x ⋅ 5 4 x 2 2^{3x} \cdot 5^{4x^2} 2 3 x ⋅ 5 4 x 2
Use the quotient rule to find the derivative of the following funciton,
f ( x ) = x − 1 x 2 + 2 x + 1 f(x) = \frac{x - 1}{x^2 + 2x + 1} f ( x ) = x 2 + 2 x + 1 x − 1
Find f ′ ( x ) f\prime(x) f ′ ( x )
f ( x ) = 5 x 2 − 1 2 x 3 + 3 f(x) = \frac{5x^2 - 1}{2x^3 + 3} f ( x ) = 2 x 3 + 3 5 x 2 − 1
Given f ( x ) f(x) f ( x ) , find the equation of the tangent line at the point ( − 1 , − 2 ) (-1, -2) ( − 1 , − 2 )
f ( x ) = 4 x ( 1 + x 2 ) f(x) = \frac{4x}{(1 + x^2)} f ( x ) = ( 1 + x 2 ) 4 x
Use the quotient rule to find the derivative of y = 5 x 6 x 2 + 2 x y = \frac{5x}{6x^2 + 2x} y = 6 x 2 + 2 x 5 x
Use the definition of the derivative to show that the derivative of sin x \sin{x} sin x is equal to cos x \cos{x} cos x
Show that the derivative of cos x \cos{x} cos x is equal to − sin x -\sin{x} − sin x
Show that the derivative of tan x \tan{x} tan x is equal to sec 2 x \sec^2{x} sec 2 x
Use the quotient rule to find the derivative of sec x \sec{x} sec x
Use the quotient rule to find the derivative of csc x \csc{x} csc x
Find the derivative of the trig function, f ( x ) = sin ( x 2 + x ) f(x) = \sin{(x^2 + x)} f ( x ) = sin ( x 2 + x )
What is the derivative of y = x cos ( x ) y = x{}\cos{(x)} y = x cos ( x )
Find the derivative of y = tan ( 2 x ) x 2 y = \frac{\tan{(2x)}}{x^2} y = x 2 t a n ( 2 x )
Use the definition of e e e as the unique positive number for which lim h → 0 e h − 1 h = 1 \lim_{h\rightarrow 0}\frac{e^{h} - 1}{h} = 1 lim h → 0 h e h − 1 = 1 and the definition of the derivative to show that derivative of the exponential function, f ( x ) = e x f(x) = e^x f ( x ) = e x is equal to e x e^x e x
Determine the derivative of f ( x ) = 2 x 5 − 3 e 6 x f(x) = 2x^5 - 3e^{6x} f ( x ) = 2 x 5 − 3 e 6 x
Find the derivative of f ( x ) = x 3 e − 2 x f(x) = x^{3}e^{-2x} f ( x ) = x 3 e − 2 x