(4) Use the definition of derivative (not any shortcut formulas) to find the derivative of the...
4) (5 points) Use the definition of the differentiation to find the derivative of f(x) x2 +3x. 4) (5 points) Use the definition of the differentiation to find the derivative of f(x) x2 +3x.
3. Use the definition of the derivative (i.e. evaluate the appropriate limit) to find the derivative of the function y(x)= 8x - 7 at the point P(4, 5).
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...
5x + 1 Use the definition of the derivative to find the derivative of the function f(x) = *-*2. Then find all x-values (if any) where the tangent line is horizontal. If the tangent line is horizontal for all X, write R for your answer. If the tangent line is never horizontal, write None for your answer Answer 3 Points Keypad 11 1'(x) = 2 Tangent is horizontal at x = Prev Nex If f(3) = -1, f(3) = 17,...
Please circle all 4 answers in order. Thanks. the derivative as specified. Using the definition calculate the derivative of the function. Then find the values of pe=Q f(x) = 1 + x2, f'( -8), f'(o), P (9) p(-8)=0 f(0) = 0 P(9)=
Using the definition of the derivative, find f'(x) for the following function. 3. f(x) = x2 + x - 1 the definition of the derivative f'(x) = lim f(x+h)-f(x) h h-0 What is the slope of tangent line to this curve at x = -1?
5. Use the limit definition to find the derivative of f(x) = V3x + 2. (6 points) 6. Find the derivatives of the following functions. Do not simplify after taking the derivative. 5 points each a. f(x) = (4x2 +1) c. h(x) = arcsin(3x2+ 2x-1) b. h(x) = 3sec(x2)
[ 10 pts.] 9. Use the alternative limit definition of derivative to determine whether the function 8sinh(x/2) ifx<2 f(x)= is differentiable or not differentiable at 2x²+x-1 if x2 x=c=2 Show all work !!!
- 2X1 - 2M h C2X ng the following definition of a 18. Find the derivative [f'(x)] of the function f( derivative: f(x+h)-f(x) P(x) =" + tumb* (x2+2x1h+ h2) Page 6 of 7 7x + 2 x ht! h² Ś3
Use the chain rule to find the derivative of 4V50% + 6x8 Type your answer without fractional or negative exponents. Use sqrt(x) for Væ. If f(x) = 7 – x2 5 + x2 find: f'() = Evaluate the limit: 9x – 9 lim 2+1 x2 8x + 7 =