(a) If
(b) If
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Chapter 9 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
- Find the differential of the function y=lntan2x at x=π/8.arrow_forward4) Find the first derivative of f'(x) of the function below using the techniques of the integration.arrow_forwardFind the particular solution that satisfies the differential equation and the initial condition. f '(x) = 20x3 − 8x; f(1) = 1 f(x)=arrow_forward
- (a) From sin2 x + cos2 x = 1, we have f(x) + g(x) = 1. Take the derivative of both sides of this equation to obtain f' (x) + g' (x) = 0. This implies f'(x) = -g'(x). (b) f' (x) = 2 sin x cos x, and g'(x) = 2(cosx)(-sinx) = -2sin x cos x. So, f'(x) = -g'(x).arrow_forward4) Find the first derivative or f’(x) of the following functions using the techniques of integration:arrow_forwardwhat is the differential coefficient of x.arrow_forward
- 1. Find the derivative of f(x) = ex + x4 + π5 + e6.arrow_forwardFind the general antiderivative of each function. (can check by taking the derivative) F(X)= 12x3 +3CSC2X- 5√x - 4π F(X) = (5- 3x2 + X4)/ X4 Find the particular solution that satisfies the differential equation F'(X) = 10x − 12x3 with an initial condition of f(3) = 2arrow_forwardFind the anti-derivative of: f(3x^3+9x)^6 (x^2+1)dxarrow_forward
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