Find the first derivative with respect to the domain variable for the following functions. 4. f(x)...
10. Find the first derivative with respect to the independent variable for the following functions: (a) dr = 4cosh(41). (b)-=cos㎡(t) + sinh2(t) = cosh(2t) (c) (d) …-=e"sech"(ex). dt dh dr dF -2sinh(r) (cosh(r) + 1,- = dy
10. Find the first derivative with respect to the independent variable for the following functions: (a) f(x) = sinh(4x) (b) g(t) = cosh(t) sinh(t). 1 - cosh(r) (c) h(r) = 1 + cosh(r) (d) F(X) = tanh(e). (e) y = sinh--(VT). (Hint: Apply implicit differentiation to sinh(y) = VT.) 11. Use appropriate hyperbolic function substitutions to evaluate the following indef- inite integrals: dc (a) /+) Ke-10) (e)/() dx (b) dar James G., Modern Engineering Mathematics (5th ed.) 2015.: Exercise set...
Q1) Evaluate the partial derivative with respect to x of each of the following functions d) f(x, y)2y In(x) e) f(x, y) = 2x-2-tu
Find the derivative of the following functions: (x2-1) f(x) = (x2 +1) f(x) = (x3 + 2x)3(4x + 5)2
21. Find the derivative of each of the following functions by applying the product rule a. f(x) = (x2 + 1][2x2 + 3x + 4) b. f(x) = x2 cos x c. f(x) = e* sin x 22. Find Find the derivative of each of the following functions by applying the quotient rule a. f(x) = 22+1 f(x) = (2x + 1] / [x - 3] b. f(x) = x+2x+1 3x + 1 c. f(x) = sing 23. Find the...
The functions fand g are given. Find each of the following functions and determine their domain. (Enter your answer for each domain using interval notation.) (x) = 3x + 4 and g(x)=2x-3 (a) (f+)x) function (f+)() - domain (b) (- 9)x) function (f - 9)x) = domain C) (f. 9x) function (f)(x) = domain function domain
For the pair of functions, find the indicated domain. F(x) = x? -4,9(x) = 2x+3 Find the domain of gf. ОА 00. OB OC. (-20.00) OD. (-2,-2)(-22)U(2,00) Click to select your answer.
For the given functions, find (fog)(x) and (g of)(x) and the domain of each. f(x) = 2x + 1, g(x) = √x
7*). Using this definition, Derivative of a function f (x) can be expressed as f'(x) = lim ** find out the first order derivative (f'(x)) of the following functions: h 0 h f(x) = 2x2 + 4 f(x) = 2x (4 points) (4 points)
Find the derivative of the following functions: Inx 22 C. a. F(x) = In (3x) b. Y=: Y=52x-1 d. Y= log1032 e. Y=In(x2-2)2/3 f. Y= In g. Y= log2 (2x - 1) h. Y= 8** e 1+e+