antiderivation through differentiation
Please do like
antiderivation through differentiation 41.. (x2 4)3/2
4) (5 points) Use the definition of the differentiation to find the derivative of f(x) x2 +3x. 4) (5 points) Use the definition of the differentiation to find the derivative of f(x) x2 +3x.
Use logarithmic differentiation to differentiate the following function a) y = (x2 + 1)(x2 + 2)6 b) y = vai
Question 2. (20 points, 4 each) Apply the basic differentiation rules to find the derivatives of the functions given below. (a) f(x)=In(5x2+3x) - 2Vx3 (b) f(x)=(x2-3) (e3x-1 +2x) (c) 2x4+7xy+5x3=120 (d) S¢ + x)dx (e) S(x2 + e2x)dx
(1 point) If In(x2 – 8y) = x – y + 4 and y(-3) = 1, find y'(-3) by implicit differentiation. y'(-3) = 1 An equation of the tangent line to the curve at the point (-3,1) is y = x+2
vertex at (-2,-4) passes through (2,0) and (41/4,3) find an equation
4. Evaluate the integral by changing to spherical coordinates. (15.8 #41-43) a2-x2-y2 4. Evaluate the integral by changing to spherical coordinates. (15.8 #41-43) a2-x2-y2
If 4 - x2 = f(x) < 4+x2 for –3 <x<3, find lim (2) 20
By using implicit differentiation, find the gradient, dy/dx of the tangent to the curve, x2 + 2.2y3 - 4.0xy = 8. at the point (2.1,2.88), giving your answer to 3 decimal places. Assume that this point satisfy the given equation of the curve.
question 1-10 x2 + y2 = 25. 1. Given: thecircle 2. Find: Use implicit differentiation and find the derivative, y. You can use your book if need be. Relative to problem W1, put in slope-intercept form (that is, y=mx+b) the equation of the tangent line to the circle at (-4,-3). Find each of the following integrals. Be careful! fx-sax ( 10x ax (Note: 1/(x^2) - **(-2)) Sex - 7 Jax 170 - Jos Sex (10x dx Novo - xp]ox S[e*...