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Find the derivative of the following function. f(x) = (2x - 3)(3x4 +7x) f'(x) = 2(3x4 + 7x)+(2x - 3)(12x3 +7) f'(x) = 2 + (12x3 + 7) f'(x) = 2(12x3 + 7) f'(x) = 2(3x4 +7x) – (2x - 3)(12x3 + 7)
Find the derivative of f(x) = 3x4 - 8x2+2x–7.
4pts 1) Find the second derivative of the function f(x) = 3x4 + 2Vx
Suppose f(x, y) = x2 + y2. Find the directional derivative of the function f at the point P(1, -1) in the direction of 7 = -31 + 4. That is, find Dif(1,-1). 5 14 O 14 5 O 14 5 O 5 14
Write the first derivative of the following function. Y=10X-2X-3+3X4-4X1/4 Show your work in detail.
1120 Page 1 of 1. Find the derivative of the function y = + + x2 using (a) the quotient rule (b) the product rule (without using the quotient rule) (c) the power rule (without using the product rule or quotient rule) For cach, clearly show and/or explain how to use the respective rule to find the derivative. (d) Which method, (a), (b), or (e), do you think is best for finding this derivative? Why?
Find the derivative of the function. g(x) = 800(3 - e-0.1x) Find the derivative of the function. y = :ets Find the derivative of the function. y = 4e(x2 + 6)3 Find the derivative of the function. y = In(e2x + 3)
Find the derivative of the function. 4x - 7 8x + 1 y
Find the second derivative of the function. y = 4(x2 + 2x)3 y" = _______ Find the third derivative of the function. f(x) = x4-4x3 f'''(x) = _______
Find the directional derivative D−→ u f(x,y) of the function f(x,y) = x2 + 3xy + y3 where →− u is the unit vector given by angle θ = π 4. What is D−→ u f(1,1)?