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Find the equation of the tangent line to the graph y=x√ at x=4. y = On graph paper, sketch the graph and the tangent line using the x-values 3.5,4,4.5. The tangent line provides a linear approximation to x√ near x=4. Use this approximation to find approximate values for 4.5‾‾‾√ and 5√
Find the equation of the tangent line to the curve y = 6 sinx at the point (π/6, 3). The equation of this tangent line can be written in the form y = mx + b where m = _______ and b =
The tangent line to the graph of f(x) at x 1 is shown. On the tangent line, P is the point of tangency and A is another point on the line. A y f(x) X -2 2 3 -2 -3 (a) Find the coordinates of the points P and A P(x, y) A(x, y) (b) Use the coordinates of P and A to find the slope of the tangent line (c) Find f'(1) (d) Find the instantaneous rate of change...
is this correct? Find an equation of the tangent line to the graph of f(x)= -5-4x at (2, -21). The equation of the tangent line to the graph of f(x)= -5-4x at (2,-21) is y = - 16x + 11 Find an equation of the tangent line to the graph of f(x)= -5-4x at (2, -21). The equation of the tangent line to the graph of f(x)= -5-4x at (2,-21) is y = - 16x + 11
Find an equation for the tangent line to the graph of the given function at (4,23). f(x)=x2+7 Find an equation for the tangent line to the graph of f(x)-x+7at (4,23) y = Find an equation for the tangent line to the graph of the given function at (4,23). f(x)=x2+7 Find an equation for the tangent line to the graph of f(x)-x+7at (4,23) y =
1a. Find the equation y-f(x)-f'(x.)*(x-%) of a tangent line to the graph of a polynomial function f(x) -2xN4-x+3 3x^*2 at the point x, -1. (See the files Derivatives.doc and Derivatives of a power function.doc) N-16 1 b. Find the equation y-f(xi)-f'(x.)*(x-%) tangent line to the graph of a function of a f(x)-4x atx, 2. (Use the chain rule of differentiation for finding f'(x,).)
2. Use Definition to find the equation of the tangent line to the graph of the equation y- 1/2 at -2 3. Find the points on the graph of y2-/2 at which the tangent line is parallel to the line y - 3. 4. Sketch the graph of a continuous function f that satisfies all of the stated conditions. f(0) 2, f(-2)- (2)-0, f(-2) f(O)-f'(2)-0 f"(z) > o if-2<zco, f,(z) < 0 if <-2 or x > 0; 2. Use...
Find an equation of the tangent line to the graph of y = In(x2) at the point (4, In(16)). y =
32 Find the equation of the tangent line to the graph of f(x) = x5 10 at x = 2. x3 V= Submit Answer Tries 0/99 Find the derivative of y = 7 sin x – 9 cos X. Remember to type in the parenthesis for trigonometric functions, for example, sin(x). y'(x) = Submit Answer Tries 0/99 Find the equation of the tangent line to the graph of y = 3 sin x at x = TT. y Submit Answer...
Find an equation for the tangent line to the graph of the given function at (5,23). f(x)=x2-2 Find an equation for the tangent line to the graph of f(x) = x2 - 2 at (5,23). y=