ind an antiderivative G of g(z) z²
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- Let F(x) =/(x) + g(x)e* + h(x)e2"*+C be the antiderivative of G(x) = (x+ e*)*, Determine the value of /(x) + glx) + h(x) for x=6.2 (use 2 decimal places)Find constants c1 and c2 such that: G(x) = c1xe^−x + c2e^−x is an antiderivative of g(x) = 3xe^−x. answer using: A function F is an antiderivative of f if F′(x) = f(x).If F(x) is an antiderivative of * -2 + x-', then what is the value of F(1) - F(-1)?
- Find the first derivative f(t)=4cos (t)-10tan(t) a. y= -=z 2sin(z) + V1-z c. y'= = z"isin (z) + 2. /1-z2 b. a. y= z 2sin(z) + V1-22 d. a. y'=- z 2sin(z) + 2. V1-z2For the three variables function u(x, y, z) = (log4 x²) csch-1(yz)) a3 u Evaluate the partial derivative дх ду дzaz 04:- Use the Chain rule to find the derivative and () of z= 3x -2 x y + y? If x =x (u, v) = 3u + 2v and (10 Marks) y = y (u, v) = 4u - v