Question

Find the derivatives of each of the following functions. DO NOT simplify your answers. (a) f(x)...

Find the derivatives of each of the following functions. DO NOT simplify your answers.
(a) f(x) = 103x (3x5+ x − 1)4

(b) g(x) = ln(x3 + x) / x2 − 4

(c) h(x) = tan-1(xex)

(d) k(x) = sin(x)cos(x)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Differentiate the following functions. Do not simplify. (a) f(x) = x^7 tan(x) (b) g(x) =...
1. Differentiate the following functions. Do not simplify. (a) f(x) = x^7 tan(x) (b) g(x) = sin(x) / 5x + ex (c) h(x) = (x^4 + 3x^2 - 6)^5 (d) i(x) = 4e^sin(9x) (e) j(x) = ln(x) / x5 (f) k(x) = ln(cot(x)) (g) L(x) = 4 csc^-1 (x2) (h) m(x) = sin(x) / cosh(x) (i) n(x) = 2 tanh^-1 (x4 + 1)
Find the derivatives of the following functions (simplify when appropriate). Please neatly show your work. a....
Find the derivatives of the following functions (simplify when appropriate). Please neatly show your work. a. f(x)= xsin^2(x) b. f(x)=tanh(2x)+cosh(x)+4sinh(x) c. f(x)= tan(2x)+cos(x)+4sin(x) d. f(x)= 2√(x)-x^(2/3). Find f'(1).
Find the derivative of each of the functions below. Please use proper notation for derivatives. Do...
Find the derivative of each of the functions below. Please use proper notation for derivatives. Do not simplify your answer. 1. R(x)=-4x-2+(2/x2)-ln(x+1)+4 2. h(x)= -(4x2-x+3)23 3. q(x)=e(2x^4)-1 4. f(x)= (4x2-9x+1)(-x+ex) 5. M(x)= (4x3-x)/(x+2)
Differentiate the following functions. Do not simplify k(x) = ln(cot(x)) L `(x) = 4 csc-1(x2) m(x)...
Differentiate the following functions. Do not simplify k(x) = ln(cot(x)) L `(x) = 4 csc-1(x2) m(x) = sin(x) / cosh(x) n(x) = 2 tanh-1(x4 + 1)
Calculate the higher derivatives. y = tan(x) y'' =    y''' = If f(x) = sin(x)...
Calculate the higher derivatives. y = tan(x) y'' =    y''' = If f(x) = sin(x) and g(x) = cos(x), determine the following.      f (4n + 1)(x) =      g(4n + 1)(x) =      f (4n + 2)(x) = g(4n + 2)(x) =      f (4n + 3)(x) = g(4n + 3)(x) =      f (4n + 4)(x) = g(4n + 4)(x) = Now, use your answers to calculate F(159)(x) when F(x) = 4 sin(x) + 3 cos(x). F(159)(x)...
1). Use the techniques of differentiation to find the derivatives of the following functions a). f(x)=...
1). Use the techniques of differentiation to find the derivatives of the following functions a). f(x)= (2 sqrt x + 1) (2-x/x^2+3x) b). f(x)= cos^2 (3 sqrt x) c). f(x) = Sin x/(x^2 + sin x)
Find the derivative of the following functions (a) f(x) = ln(√x3 −2x) (b) g(x) =√x2 +...
Find the derivative of the following functions (a) f(x) = ln(√x3 −2x) (b) g(x) =√x2 + 3 x3 −5x + 1 .
13. Consider f(x)=sqrt x-2 a) Using any of the three limit formulas to find f ′...
13. Consider f(x)=sqrt x-2 a) Using any of the three limit formulas to find f ′ ( a ), what is the slope of the tangent line to f ( x )at x = 18? (6 points execution, 2 points notation) b) Find the equation of the tangent line at x = 18 14. State the derivative. a) d/ d x [ x ^n ] b) d /d x [ cos ⁡ x ] c) d /d x [ csc...
1a. Find the domain and range of the function. (Enter your answer using interval notation.) f(x)...
1a. Find the domain and range of the function. (Enter your answer using interval notation.) f(x) = −|x + 8|   domain= range= 1b.   Consider the following function. Find the composite functions f ∘ g and g ∘ f. Find the domain of each composite function. (Enter your domains using interval notation.) f(x) = x − 3 g(x) = x2 (f ∘ g)(x)= domain = (g ∘ f)(x) = domain are the two functions equal? y n 1c. Convert the radian...
Using Leibniz notation (i.e., ??/??, ??/??, etc.), find derivatives for each of the following functions. You...
Using Leibniz notation (i.e., ??/??, ??/??, etc.), find derivatives for each of the following functions. You should always use proper notation. Your answers must be simplified. a) ?=(3√p/(p√p))^−2 b) ?(?)=cos?/(5?^? +2tan(?)) c) ?=sin^−1((sqrt?+1)) d) ℎ(?)=?^2?^(?3) e) ?(?)=cot^−1(?)+cot^(−1)(1/?)