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dg (1 point) Suppose g(x) = ln(ln(ln(f(x)))), f(6) = A, and f'(6) = B. Find the...
Find the derivative. f(x)=ln (xe" + 9) f ,(x)= Find the derivative. f(x)=ln (xe" + 9) f ,(x)=
Find the derivative of the function. f(x) = (ln(x + 5)) f'(c) = Preview Find the derivative of the function. f(t) = ť(In(t))? f'(t) = Preview If f(a) = 8 ln(4x), find a. f b. Rounded to the nearest whole number: f(e) c. Rounded to the nearest whole number: f'(e) = d. sing your results for f(e) and f'(e), find the equation fo the line tangent to the curve f(x) at the point (e, f(e)). Round decimals to the nearest...
5. Find the derivative of f(x) = ln (sec(x) + tan *' (x)). 6. Find an equation of the tangent line to the curve y = x’ In(x) when x = e?
(b) Find the directional derivative of f(x, y, z) = xy ln x – y2 + z2 + 5 at the point (1, -3,2) in the direction of the vector < 1,0,-1>. (Hint: Use the results of partial derivatives from part(a))
find the derivative 6x<+2 ln(x), (1 point) Find the derivative with respect to x of h(x) = h'(x) =
(1 point) Use part I of the Fundamental Theorem of Calculus to find the derivative of (1 point) If f(x) dx 21 and g(x) dz 16, find [4f(z) +6g(a)] dz. Answer: 164 (1 point) Use part I of the Fundamental Theorem of Calculus to find the derivative of (1 point) If f(x) dx 21 and g(x) dz 16, find [4f(z) +6g(a)] dz. Answer: 164
# 2,3,4,7, 10,11,15,18) Differentiate the function: #2 f(x) = ln(22 + 1) #3 f@) = ln(cos) #4 f(x) = cos(In x) #7 f(x) = log2(1 – 3x) #10 f(t) = 1+Int #11 F(x) = In( 3+1") #18 y = (ln(1 + e*)] # 23) Find an equation of the tangent line to the curve y = In(x2 – 3) at the point (2,0). # 27, 31) Use the logarithmic differentiation to find the derivative of the function. # 27 y...
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// -Suppose that the particular antiderivatives intergral f(x) dx = F(x) and intergral f(x 2 ) dx = G(x) are known. Find the antiderivative intergral f(2 + ln x) 3x + f(x) √ x dx in terms of F and G?
(1 point) Let [ f(z)dx=-13, 5° f(x) dx = 3, $*g(x) dx = 6, §*9(a) dx = 1, J2 Use these values to evaluate the given definite integrals. a) ["{$(2) + 9()) dx = 6 .) – g(x)) dx = * (31(2) + 29(2) de = (af(x) + g()) dc = 0. d) Find the value a such that a=
(1 point) Find the polynomial of degree 9 (centered at zero) that best approximates f(x) = ln(° +5). Hint: First find a Taylor polynomial for g(x) = ln(x + 5), then use this to find the Taylor polynomial you want 1/2 Now use this polynomial to approximate L'iniz? +5) da. -1/2 Lis(z) dx =