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- 1. Determine the derivatives of the ff. functions and show solutionFind the first derivative of each function. a) f(x)=ln (e^x+e^-x) b)f(x)= e^-2x - x ln x+x-7 c) f(x)= e^x-e^-x/e^x+e^-x d) f(x)= ln(e^x - 3x) e) f(x)= e^x^2 ln x - X^2/2Find the derivative of the exponential functions: y=e^-x^4 y=x^2e^-9x y=x^2e^x-2xe^2+5e^x g(t)-e^-5/t^4
- ln(x+(x2 −16)^(1/2)) Find the domain and the derivative of the function.(A) Find an equation of the tangent line to the graph of f(x)=(4x+1)sin(πx) at the point whose x-coordinate is 1/2.(B) Using logarithmic differentiation, find the derivative off(x)=(e^(-3x) √(2x-5))/(6-5x)^4 .Find the second derivative of the function. f(x) = e−4x + e2x