What is the derivative of these functions (using the rules of differentation) 8(t) = ln(2t3+5) h(x)...
6 A Find the derivative of each of the following functions using derivative rules. Remember to SIMPLIFY first! Show all steps for full marks <2 mks each> Differentiate each of the following equations. Be sure to write proper notation. y = 7x6 + 10x4 - 8x - 5 $(x)= V1 f (x) = 7 y = 4x®(3x6 - 2x) f (x) = - s(t)= _4° +56 f(x)g(x)h(x) cf(x) f(x) + g(x)
find the derivative 6x<+2 ln(x), (1 point) Find the derivative with respect to x of h(x) = h'(x) =
8. [0/5 Points] DETAILS PREVIOUS ANSWERS Find the derivative of the function. f(t) = 43/2 log&(vt + 3) 1 3x?loge (Vx+3) 3 2 f'(t) = X + 2 2 ln(6)(x+3) x
3. (8 points each) Find the derivative of each function. Show as much work as possible. Do not simplify your answer. 2 (a) f(x) = x-0.5(1 – e2) + 4* + x4 x 2 93 (b) P(t) = + 2-t2 5+5e-3t (c) k(x) = 3 ln(2x +1) VX-5
Find the derivative of the function. f(x) = (ln(x + 5)) f'(c) = Preview Find the derivative of the function. f(t) = ť(In(t))? f'(t) = Preview If f(a) = 8 ln(4x), find a. f b. Rounded to the nearest whole number: f(e) c. Rounded to the nearest whole number: f'(e) = d. sing your results for f(e) and f'(e), find the equation fo the line tangent to the curve f(x) at the point (e, f(e)). Round decimals to the nearest...
Taking the derivative of x tan x and using the fact that tan x = (ln sec x) 0 allows us to anti-differentiate a certain function. What function is it?
please The functions f, g, and h are defined as follows. X+6 =52o 8(x)=-6+ Vx-2 h(x)= |x-1|| Find f(a), 3(5), and 1 () Simplify your answers as much as possible. x 5 ? I Don't Know
3. (5 pts) For each of the listed functions, determine a formula for the derivative function. For the first two, determine the formula for the derivative by thinking about the nature of the given function and its slope at various points; do not use the limit definition. For the latter three, use the limit definition, Pay careful attention to the function names and independent variables. It is important to be comfortable with using letters other than f and r. For...
5. Find the derivative matrices of the following vector-valued functions of several variables (a) x(t) (t cos t,t sin t) (is there one row or one column?) (b) f(r, y) (2r 4, x - 2y7, y 3) (c) f(x,y, 2)(xz2, x + zy?) 5. Find the derivative matrices of the following vector-valued functions of several variables (a) x(t) (t cos t,t sin t) (is there one row or one column?) (b) f(r, y) (2r 4, x - 2y7, y 3)...
FIND THE DERIVATIVE OF THE GIVEN FUNCTIONS! 2. f(x) Vx+3x-1 3. f(x)=x(x -x)