Find the derivative of the function. Please a show step by step of how to do...
find the derivative Find the derivative of the function. y=9 eX + e 2x dy dx Find the derivative of the function. y=9 eX + e 2x dy dx
Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. f(x) = 3 + x2: f'(- 9), F 'O), f (9) Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. 4 96) = 3. g'(-2), g'(4), g(6) o't)= dx if y = 7x3 dy || s={3 - 4+, t= -6 s'(t)= 0 ne indig y=f(x)= 3 + 14-x, (x,y)= (0,5) The derivative of...
Please explain step by step on how you get your answer b) 2 - th(y)+ Solve the following differential equations: dy 5 + 2x a) 1 - v3y dy c) ; y(2) = 0 dx y 21 dy 1 + y d) My(0) = -1 2 dt 1 + 2 y dx 1 + x dy dy y e) X + 2 y = x'; x > = x'; x > 0; y(1) = 0 f) X = x; x...
Please show how do step by step Compute the quotient 10O a for the following function b-a fx)s-7x- 3 a 2, and b-3 (b) fx)-x'-2x+1; a-1, b 0
Let f(x)=(x? + 1)^(2x – 1) is a polynomial function of fifth degree. Its second derivative is f"(x) = 4(x2 + 1)(2x – 1)+8x²(2x – 1)+ 16x(x? + 1) and third derivative is f"(x) = 24x(2x – 1) +24(x + 1) +48x2. True False dy Given the equation x3 + 3 xy + y2 = 4. We find dx 2 x' + y by implicit differentiation and is to be y' = x + y2 True False Let f(x)= x...
Please show steps thank you Find the derivative of y with respect to x if y = (2x2 - 4x +4) ex dy dx =
please do #7 the derivative of the function y - tan-(x-v1+x? ). Problem 5. Find the derivative of the function y = sin(2x+1). Problem 6. Find the derivative of the function h(x) = sinh(x?). Problem 7. Find the limits. Use L'Hospital's Rule where appropriate. I (a) lim x’e-* (b) lim (sin x In x) x0+
10. f(x) = logs (sec(4x' - 2x + 5)) Chapter 4 - Applications of the Derivative 11. Given the function f(x) = 2x - 3x2 - 12x + 5 Find critical points (including relative minimums/maximums, if applicable), where the function is rising and falling, where it is concave up and down, any points of inflection. Summarize below. a. f(x) = b. f'(x) = c. Inflection points (give as points) d. Local MAXs (give as points): e. Local MINs (give as...
Can somebody please explain to me how to get each arrow of the nullclines step by step? dx x(-x-3y150) dt dy=y(-2x - y + 100) dt 5. (a) y 100 150 dx x(-x-3y150) dt dy=y(-2x - y + 100) dt 5. (a) y 100 150
ame f(x) If f(x) is a differentiable function, find an expression for the derivative of y= X Choose the correct answer below dy 7f(x)-xf'(x) O A. dx 8 X xf (x) 7f(x) dy O B. dx 8 X dy xf(x) 7f(x) O C. dx 8 X 7f'(x) xf(x) dy O D. dx 8 X ame f(x) If f(x) is a differentiable function, find an expression for the derivative of y= X Choose the correct answer below dy 7f(x)-xf'(x) O A....