Hi, I need help with this one, I would really appreciate it if you could write it where I could read it. Thank you for your help! Please only use the formulas provided. 3. Using the graphs of the functions fand g below, determine the following. If infinite, specify ∞o or -∞o. If an answerdoes not exist or cannot be determined, explain why.y = f(x)y = g(x)NAa.dlimx-+-+-2 dx [(8(x))²]db. lim - [f(x)]x→1 dx MULTIPLE DERIVATIVESA function fis-times differentiable (or fE C") if you can applythe derivative times to fand have a continuous function aftereach application of the derivative.A function fis smooth (orf E C) if it can be differentiatedinfinitely many times, and each derivative is a continuousfunctionLinearity:Products:Quotients:Compositions:DERIVATIVE PROPERTIESd[f(x) + a· g(x)] = f(x) + a · g(x)dxddx[ƒ(x)g (x)] = f(x)g (x) + f(x)g'(x)d f(x)dx [g(x)]ddxf(x)g(x) = f(x)g'(x)(g(x)) ²where g(x) = 0[ƒ (g(x))] = f(g(x)) · g'(x)TANGENT AND NORMAL LINESIf y=f(x) describes some differentiable function, the equation ofthe tangent line at a pointis given byy = f(x)(x − a) + f(a).The equation of the normal line at a point(x-a) + f(a).If fis differentiable nearf (a)is given byLINEAR APPROXIMATIONthen for values close to,f(x) = f(a)(x-a) + f(a).Constant:Power:Exponential:Logarithmic:BASIC FUNCTION DERIVATIVESTrigonometric:Hyperbolic:ddxddxddxddxddxdd[b] = ln(b) b*, where b € (0,0)dxddx[a] = 0, where addxMdxddxddxInverse Trigonometric:ddxddxddx=x²-¹, where[log(x)] =[sin(x)] = cos(x)[cos(x)]=sin(x)[tan(x)] = sec²(x)[sec(x)] = sec(x)tan(x)[cot(x)]=-csc²(x)[csc(x)]=csc(x)cot(x)[arcsin(x)][arccos(x)]In(b) x[arctan(x)]1+x²where b, x € (0,00)[sinh(x)] = cosh(x)[cosh(x)] = sinh(x)where x = ±where x ±CZOOM +

Question

Hi, I need help with this one, I would really appreciate it if you could write it where I could read it. Thank you for your help! Please only use the formulas provided. 3. Using the graphs of the functions fand g below, determine the following. If infinite, specify ∞o or -∞o. If an answerdoes not exist or cannot be determined, explain why.y = f(x)y = g(x)NAa.dlimx-+-+-2 dx [(8(x))²]db. lim - [f(x)]x→1 dx MULTIPLE DERIVATIVESA function fis-times differentiable (or fE C&#34;) if you can applythe derivative times to fand have a continuous function aftereach application of the derivative.A function fis smooth (orf E C) if it can be differentiatedinfinitely many times, and each derivative is a continuousfunctionLinearity:Products:Quotients:Compositions:DERIVATIVE PROPERTIESd[f(x) + a· g(x)] = f(x) + a · g(x)dxddx[ƒ(x)g (x)] = f(x)g (x) + f(x)g'(x)d f(x)dx [g(x)]ddxf(x)g(x) = f(x)g'(x)(g(x)) ²where g(x) = 0[ƒ (g(x))] = f(g(x)) · g'(x)TANGENT AND NORMAL LINESIf y=f(x) describes some differentiable function, the equation ofthe tangent line at a pointis given byy = f(x)(x − a) + f(a).The equation of the normal line at a point(x-a) + f(a).If fis differentiable nearf (a)is given byLINEAR APPROXIMATIONthen for values close to,f(x) = f(a)(x-a) + f(a).Constant:Power:Exponential:Logarithmic:BASIC FUNCTION DERIVATIVESTrigonometric:Hyperbolic:ddxddxddxddxddxdd[b] = ln(b) b*, where b € (0,0)dxddx[a] = 0, where addxMdxddxddxInverse Trigonometric:ddxddxddx=x²-¹, where[log(x)] =[sin(x)] = cos(x)[cos(x)]=sin(x)[tan(x)] = sec²(x)[sec(x)] = sec(x)tan(x)[cot(x)]=-csc²(x)[csc(x)]=csc(x)cot(x)[arcsin(x)][arccos(x)]In(b) x[arctan(x)]1+x²where b, x € (0,00)[sinh(x)] = cosh(x)[cosh(x)] = sinh(x)where x = ±where x ±CZOOM +

Accepted Answer

Given Data:
Let us consider the given data,
To Determine:
a limx→-2ddxgx2 b limx→1-ddxfx

Using the graphs of the functions fand g below, determine the following. If infinite, specify ∞o or -∞o. If an answer does not exist or cannot be determined, explain why. y = f(x) W d x→-2 dx a. lim [(800))²] b. lim d y = g(x) - [f(x)] x→1 dx f