TC Find the SECOND derivative of the function f(x)=ln(tanx+secx) at x=- 3 Give EXACT value, No decimals !!!

Q: Determine (x + 1) dx.

A: topic - definite integration

Q: find y'

A: The given function is y=x2arccosx.

Q: -X -dx

A: We know, ∫uv dx = u∫v dx - ∫ddx(u)·∫v dx dx           (integration by parts) ∫1a2-x2 dx = sin-1xa +…

Q: Discussing the concept of limits to slope to derivatives (delta method to simple differentiation) to…

A: We need to discuss the concept of limit in finding the slope, differentiation and integration (also…

Q: Derivative of the function f (x) = tan x at x = n/4

A: Differentiating with respect to x, we get

Q: Finding Slope of Function When Computing Derivative Involves the Product Rule Determine the slope of…

A:

Q: Using a Derivative Let f(0) = 3 and 2 < f'(x) < 4 for all x in the interval [-5, 5]. Determine the…

A: Given  f(0)=32≤f'(x)≤4

Q: Calculate root and error %. Find the root of the equation fx=ln(x)-5+x in the interval [2.5, 3.0]…

A: Consider the given information.

Q: The slope of the tangent line to the graph of the function at the point. V The average rate of…

A: We have to check

Q: Derivative at Different Points Without doing ANY additional computations, complete the table of…

A:

Q: First Derivative Test Describe the First DerivativeTest in your own words.

A: Analyzing any function by finding its first derivative and then finding their extremum point is…

Q: Locate any relative extrema and points of inflection. Use a graphing utility to confirm your…

A: Maxima or minima: y = F(x) is any function and let assume x = a is any critical point then, If y'…

Q: 1. Find the first derivativ

A: Given that,

Q: 1 Use the fundamental theorem of calculus to find the derivative of g(x)= | dt. +1

A:

Q: 15) Hyperbolic sine (sinh) is defined by sinh x = e* - e* Use this to find the derivative of…

A: Given that sinh x=ex-e-x2. Obtain the derivative as follows.

Q: Find the indefinite integral and check the result by differentiation. (es + sec?e) de Step 1 To find…

A:

Q: Discuss the relationship between the secant line, slope of the tangent line, derivative of a…

A:

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable.

A: The first derivative of a function is equated to 0 to determine the points where the slope of the…

Q: Consider the function on the interval (0, 2π). (a) Find the open intervals on which the function is…

A: Consider the given function fx=x-2sin x   Find the first derivative of the function. f'x=1-2cos x…

Q: calculus:

A: we have to find the derivative of the given function f(x). f(x)=7log5(x5-9x)

Q: derivative of a(x) a(x)=sinx

A: Given query is to find 53 derivative of sin x.

Q: Verifying derivative formulas Verify the following derivativeformulas using the Quotient Rule.

A: Given that : ddx ( cot x ) = - cosec2 x .

Q: - y = x In(x) Y =

A: topic - logarithmic differentiation

Q: Using chain rule evaluate the first derivative of y=x²(x+1)³.

A: We have to find first derivative of the function using chain rule: y=x2x+13 We know the formula of…

Q: Using cauchy-riemann equations find the derivative of sin2x/(cosh 2y - cos 2x).

A: Let fz=u+iv Here, u=sin 2xcosh 2y-cos 2x Differentiating with respect to x, ux=cosh 2y-cos 2x2cos…

Q: 3 (V5x + 2)(x² – 2)3 y%3D 7x-8

A:

Q: Product Rule for the second derivative Assuming the firstand second derivatives of f and g exist at…

A: Given: The first and second derivatives of f and g exist at x

Q: In finding the derivative of a root (a cube root in this case), where are all of these numbers…

A:

Q: ду if cosh(3x?y) %3D х + In(e*У + 1) ax

A: Given that cosh3x2y=x+lnexy+1                            ……(1) We have to find ∂y∂x Partial…

Q: True of False: Derivative of (arctan(e^(-x^2))) = [-2xe^(-x^2)] / [1 + e^(-2x^2)] Show your…

A:

Q: Evaluate the 2nd derivative at the given point

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: nction f(x) whose second derivative is f''(x) = 7x + 3 sin(x) )) = 3 and f'(0) = 2.

A:

Q: 32²+

A:

Q: arctan x Suppose that f is differentiable at 0 and f(0) = 5. Find the derivative of at x = 0. f(x)

A:

Q: Compute the derivative. y = cos (te-61) (Express numbers in exact form. Use symbolic notation and…

A: y = cos(te-6t) here we use chain rule and derivate the equation  with respect to t

Q: ar approximation or differential to approximate the value of 10 using the fact

A:

Q: Intergal of (sinh x) / (cosh x + 6) dx

A: To find  Integration of (sinh x) / (cosh x + 6) dx

Q: Linear approximation Find the linear approximation to ƒ(x) = cosh x at a = ln 3 and then use it to…

A: Our Aim is to find the linear approximation to f(x) = cosh x at a= ln 3and then by carrying forward…

Q: Use double derivative method for th i) the extreme values. i) where the graph of f is concav

A: Given function is: y=x4-12x3+48x2-64x We have to find the extreme values. Differentiating y with…

Q: Use logarithmic differentiation to find the derivative of the function. y = x7 cos(x) Step 1 Using…

A: Here, the given function is: y=x7 cos x⇒ln y=7cos x ln x

Q: Verifying derivative formulas Verify the following derivativeformulas using the Quotient Rule.

A: Quotient rule: ddxfg=gxdfdx-fxdgdxg2x

Q: at 1

A:

Q: Inverse identity Show that cosh (cosh x) = |x| by using the formula cosht = In(t + Vr - 1) and…

A: Given : cosh-1(coshx)=x for all x   and  cosh-1t=ln (t+t2-1)    Claim :…

Q: using first principle Find the derivative of 1. f(x) = cosh(Inx) 2. e^sin(2x)

A:

Q: Let f(x, y) = x² + xsin(y). %3D

A:

Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

A:

Q: Find all critical values and critical points of the function given, then find the regions where the…

A: The answer is in step 2.

Q: 1+coshxsinhx+(sinhx)2 It is true that cosh x = Select one: True False Using Increasing/Decreasing…

A:

Q: Equal derivatives Verify that the functions f(x) = sin2 x and g(x) = -cos2 x have the same…

A: Given functions:                                      f(x)=sin2x And,…