Determine the intervals along the x-axis on which the derivative in Figure 16 is positive. y 4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 FIGURE 16

Q: Calculate the derivative indicated.

A: Our Aim is to calculate the derivative of the expression given below:-p=7eh-2 -(i) at h=4.

Q: following

A:

Q: Evaluate the derivative of  the image  if a = 90 and b = 0.5 at x = 4 using CDA  with Δx =0.11.…

A: For the given values of a, b and c, f(x) is given by f(x)=90cos0.5xx2

Q: calculate the derivative indicated. g"(1). g(s) =

A:

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: Given, f(x)=e3x, 0,1 We need to find an equation of the tangent line to the graph of the function at…

Q: How do I do this?

A: We are given a function and at a point

Q: Compute f ' (x) and find an equation of the tangent line to the graph at x = a. f(x) = 3√x,  a= 8

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Determine the derivative of the following functions. 1. у — (4х — 5) e 2. y = 3x a(5x²–3x+7)

A: 1.

Q: Find the equation of the tangent line to the graph of f(x) = x'e- at x = 0.

A: The given function is f(x)=x9e-x at x=0.

Q: 1 h(t) = cot-1 X

A:

Q: 1 Find an equation of the tangent line to the graph of f(x) = c) at a) at (1,1); b) at 3, '27

A: Given - A Function To find - Its tangents at given points

Q: Find the derivatives of the functions tan, cotan, sec, and cosec.

A: We know that (sin x)' = cos x(cos x)' = -sin x We will use the formulas uv' = vu'-uv'v2 Consider tan…

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: Our Aim is to find an equation of the tangent line to the graph of the function f(x)=e-x-6-(i) at…

Q: Calculate the derivative.

A: Use the power rule and sum of derivative:

Q: Find an equation of the tangent line to the graph of the function at the point (1, 1). y = xCosh x

A:

Q: fw= メー3

A: Consider the provided question, We need to find the derivative of  fx=1x-3

Q: Compute f 1 (x) and find an equation of the tangent line to the graph at x = a. f (x) = x4 , a = 2

A: Consider the given function fx=x4  When x=2, then y=fx=24=16 Hence, point on the curve is 2, 16   To…

Q: Find an equation of the tangent line to the graph of fat the given point. f(x) X -

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = el-x,…

A:

Q: Determine the slope of the tangent line to the curve y = In(x²) at x = e 2 1 e4 Option 2 Option 3 1

A: differentiate it with respect to x at given point to get the slope of line.

Q: Find the derivative of the following functions: 1. sec (0) 1 + sec (0) f(e)

A: Dear student as per our rule in one session we can only solve one question please post the other…

Q: Calculate the derivative indicated in the figure below

A:

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: We have given function  fx=e-xlnx Then, f'x=-e-xlnx+e-x1x=-e-xlnx+e-xx Therefore,…

Q: If the tangent line to the graph of y = f(x) at x = 3 is horizontal, what is the derivative of f at…

A: Slope of the tangent line of the graph y=f(x) is dy/dx=f'(x) Slope of the tangent line at x=3 is…

Q: What is the equation of the tangent line to the graph of f'(x) at x = 4, if f(x) = vx? O y = - + O y…

A: Topic:- application of derivatives and tangent equation

Q: Calculate the derivative indicated. g" (0), g(s) = es / (s + 1)

A: Given: gx=ess+1 To find: g"0 Solution: Quotient rule of differentiation states that:…

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = e=*…

A:

Q: Find the derivative of the following functions.

A: Find the derivative of the following functions.

Q: Find an equation of the tangent line to the graph of the function at the indicated point. (2, 1)…

A:

Q: find y' and the slope of the tangent line to the graph of the equation below at the indicated point.…

A:

Q: Find the derivative of h(x) = e$ec(x-n)

A: dexdx=ex dsec(x)dx= sec(x) tan(x) d(xn)dx=n.xn-1

Q: Find the slope of the tangent line to the graph of the function at the given point. y = In x y 10…

A:

Q: Use the fact that derivative of a function at a point is the slope of the tangent line to the graph…

A: We know that the derivative is 0  at the maximum and minimum point on the graph  From the graph we…

Q: 2) Use a derivative sign chart to graph the following parameterized curve: dx -5(1-3X-7). dt…

A:

Q: Suppose f(x)= √1 − 3x a. Use the definition of derivative to find the slope of the tangent line to…

A: Given: f(x)= √1 − 3x To find: a. Use the definition of derivative to find the slope of the tangent…

Q: Find the equation of the tangent line to the curve f(x): at the given point (-5,5) x+4

A: The given problem is to find the tangent line to the curve f(x)=x/(x+4) at the given point (-5,5).…

Q: Find an equation of the tangent line to the graph of the function                    y = esinh x, at…

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A:

Q: zチー1 メニ」t

A:

Q: Calculate the derivative of the following functions

A: The given function is y=θ2sec5θ

Q: Calculate the derivative of the following functions. y = (1 + 2 tan u)4.5

A: The given equation is y=1 + 2 tan u4.5.

Q: Compute f '(x) and find an equation of the tangent line to the graph at x = a. f (x) = x4, a = 2

A:

Q: Suppose y is a function of x. Find the derivative (dy/dx) of the function.

A: We have to find the derivative of the given function   The given function is   x2y2=x2-y23

Q: Calculate the derivative indicated.

A:

Q: Find an equation of the tangent line to the graph of f(x) = 2 + e1−x at the point (1, 3).

A: We have to find equation of tangent line to the graph of function fx=2+e1-x at the point 1, 3. We…

Q: The graph of a function is shown together with the tangent line at a point P. y 5 4 3 2 1 2 3 4 6. 7…

A: topic- tangent

Q: Find an equation of the tangent line to the graph of the function h(x) = −xe2−x, at the given point…

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find the derivative of the function. 6ew 7w dr dw

A: