Let h(x) = ln(x^2 + 1) be a function defined on (−∞,∞). Find the equation of the tangent line to the curve of h(x) at x = 1. Use the exact values only
Let h(x) = ln(x^2 + 1) be a function defined on (−∞,∞). Find the equation of...
# 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...
Find an equation for the line tangent to the curve at the point defined by the given value oft. Also, find the value of dy at this point x=++ cost, y = 1 + 2 sin tt-7 Write the equation of the tangent line. y=-x+ (Type exact ahswers, using as needed)
11.2.11 Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point. x=t-sin ty=1 - 3 cos tt Write the equation of the tangent line. y= x+ (Type exact answers, using a as needed.)
Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point x=16 cost, y = 4 sint,t= The equation represents the line tangent to the curve at t= (Type an exact answer, using radicals as needed.) d²y The value of dx2 (Type an exact answer, using radicals as needed.) att =
d²y Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point dx x= 16 cost. y = 4 sint, t = 7 л 2 The equation represents the line tangent to the curve att (Type an exact answer, using radicals as needed.) dy The value of att is dx? (Type an exact answer, using radicals as needed.) 70 4
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...
12. Let a curve be defined parametrically by x(1) = 3cost, y(t) = 3 sint, z(1)- 21. a) Find the equation of the tangent line to the curve att b) Find the curvature of the curve att
Let C be the curve defined by the equations: ; Find the equation of the osculating plane of C at point whose coordinates are positive integers, such that the tangent line at is parallel to the plane 2z2
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?
Qz/ Find the equation for the line tangent to the curve defined by x = 2ta +3, y = t*, t = -1.