Sketch the midline and the graph of the function f(x) = 3 – 2 sin (플(-1) %3D

Q: f(x) = sec¬'(1+ x²)

A:

Q: Where does the graph of the function y=3•cos¬lx-sin¬'x have a horizontal tangent line? Provide an…

A:

Q: For which values of x are y = sinh x and y = cosh x increasing anddecreasing?

A: Hence, sinh x is increasing for all x.

Q: Show that y = tanh x is an odd function.

A:

Q: ind y' by implicit differentiation: xy3 - sqrt (x2 +1)=2y

A: Definition used -    Implicit differentiation-  If equations do not define explicitly y as a…

Q: Differentiate the function   f(x) =    sin x  ln ( 5x )

A:

Q: Consider the function y = sinh 2x + 1. Which ?one is a critical number of this function

A:

Q: the

A:

Q: Find the derivative of the function below. F(x) = arctan e a*) f'(x) =

A:

Q: Find the length of the graph of f(x) = ln sec x from x = 0 to x = r/6.

A:

Q: Find the slope of the tangent line to the sine function at the origin, (a) y = sin(4x) 15 y'(0) = 4…

A:

Q: Find the tangent line to the function f(x) = 2x cos4(x) at the point (0,1)

A: We have given function fx=2xcos4x and point 0,1. We have to find tangent line to the function at the…

Q: 4. f(x) = -sin Зл PS = DCP 11 VS =

A: We have to find the amplitude, phase shift, vertical shift and period of the given function.…

Q: Find the derivative f(x) = [sin(4* + x)][cos(x* + 4) %3D

A:

Q: Find the derivative of the 6. sin 80 (f) f(0) = %3D 1+ cos 80

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Differentiate the function: y = In[tan(ln x)]

A:

Q: 4. Use implicit differentiation to find an equation for the tangent line to the graph of sin(x +y) =…

A:

Q: Find the derivative: f(x) = (6 sin a + 3 cos )tan f'(x) =

A: Given function is fx=6sinx+3cosxtan−1x To find the derivative of the function.

Q: sin 0 r (0) = log„(ršin ® – sin" 0)

A: We know that, from the derivative formulas ddxax=axloga       ⋯⋯1ddxlogx=1x…

Q: Evaluate the integral.

A:

Q: Find the most general antiderivative of the function. f(x) = 5 cosx-7 sinx

A:

Q: В. f(x) = (sin ebx³ ). 3 |cot(26x) x4 -

A:

Q: Find the second derivative of the function. f(x) = sin(2x?) %3D f "(x) = 16x sin 2x) + 4 cos 22)

A: Given f(x)=sin(2x2) Formula: Derivative of sinx  = cosx Derivative of cosx = -sinx

Q: · f(x) = sin(In r²) %3D

A:

Q: Find the equation of the line tangent to the graph of f(x) = -2 sin (x) – 1 at'x = =. (Enter an…

A:

Q: Find the second derivative of the function.

A: Given,         f(θ)=3tanθ

Q: Find and locate the local and absolute extreme values of f(x) = x+(sin2x) in [0, π].

A: Find and locate the local and absolute extreme values of f(x) = x+(sin2x)in [0, π].

Q: Find the absolute extrema of the function on the closed interval.

A: The given function is y=tanπx8    on  0, 2. Compute the critical points as follows.…

Q: 8. The value of f sinh* x cosh³ x dx

A:

Q: g(x)%3Dx sin(2*)

A:

Q: Find the equation of the tangent line to the function f(x) = ln (7 – 4x) at x = 1. (Use symbolic…

A: Slope of the tangent is obtained by dy/dx

Q: For what x-value (approximately) does the function f(x) = sin(x) – x reach height -2? (Use a = 2 as…

A:

Q: Compute for y" by implicit differentiation. sin y + cos x 1

A: This question is based on diffrentiation of implicit function.

Q: Explain graphically why there is no solution to cosh x = sinh x

A: cosh x = sinh x. We need to explain graphically why there is no solution to the given equation.

Q: Find the relative extrema (if any) of the function f(x) = sin 2x ; over the interval (0, π).

A:

Q: Find the slope of the tangent line to the sine function at the origin. y 2 y=sin -1 Compare these…

A:

Q: Find the equation of the tangent line to the function f(x) = ln (22 – 7x) at x = 1. (Use symbolic…

A:

Q: Consider the function f(x) whose second derivative is f''(x) = 9x + 8 sin(x). If f(0) = 2 and f'(0)…

A:

Q: by implicit differentiation. 8. Find dx sin(xy) = 1+ cosy,

A:

Q: Find all extreme values for y=x+sinx^2 over [0,π]

A: Given,  y = x + sin2x  We have to find the extreme value in the interval 0, π

Q: Determine the instantaneous rate of change of the function √ sin sin (2³) f(x) = [x² x3 At x=1 dt…

A:

Q: Differentiate the function. f(x) = sin(2 ln x)

A: Chain rule is use to find the derivative of composite functions

Q: Find the surface area of a sphere of radius 5 by rotating the graph OI the function x2 between x =…

A:

Q: Find all x values on the graph of f(x) = - 3 sin x cos x where the tangent line is horizontal.

A:

Q: Find the equation of the tangent line to the function f(x) = ln (13 – 4x) at x = 1. (Use symbolic…

A: We have to find the equation of tangent of ffx=ln13-4x at x= 1 at point x = 1

Q: FIND THE DERIVATIVE Of THE GIveM. FUMCTIC 3.) f(x) = Logio( ) %3D 8.) g= arccose-* 9.): y = qsin? x…

A: To find the derivative of the function7) fx=log10xx-18) y=arccosec-x9)y=9sin2x

Q: Q2): If sinh(x) =find tanh(4x). %3D

A:

Q: Find the interval in which function f(x) =sin (logex)+cos(logex) is decreasing

A:

Q: Find the third derivative [f"(x)] of the given function: f(x) = 8 sin() %3D

A:

Q: Find the first derivative of the function below: f(#) = cosh(cot(z² – 2x – 7)) %3D

A: