Use the limit definition of a derivative to find dy/dx, given 𝑦 = x2 − 3x + 1.
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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...
10. Use the limit definition of the derivative to calculate the derivatives of the following functions. a. f(x) = 2x2 – 3x + 4 b. g(x) = = x2 +1 1 x2 +1 c. h(x) = 3x - 2 a. 11. Find the derivative with respect to x. x² - 4x f(x)= b. y = sec v c. 5x2 – 2xy + 7y2 = 0 1+cos x 1-cosx cos(Inu) e. S(x) = du 1+1 + + f. y =sin(x+y) g....
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.
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)
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).
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
hind the derivative. y = 12x dy + 5x + 8x, find dx O A. dy = -24x dx - 3 + 15x2 OB. dy =- - 24x - 1 + 15x² + 8 dx O C. dy dx - 24x - 1 + 15x2 OD. dy dx -3 - - 24x + 15x2 + 8
0 Use the definition of the derivative (the limit process) to find the equation of the that is tangent to the curve line having slope sketch the graph and the tangent)
2. Find ((2 + 2x + 3x)dx using the definition of the integral (limit of the Riemann 12+2x+33 Sum)
Find the particular antiderivative of the following derivative that satisfies the given condition. dy=5x-5+3x-1-1; dx y(1):5 Find the particular antiderivative of the following derivative that satisfies the given condition. dy=5x-5+3x-1-1; dx y(1):5