Approximating an Expression In Exercises 15-18, find
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Calculus: Early Transcendental Functions
- Using the Product Rule In Exercises 5–10,use the Product Rule to find the derivative of thefunction 6. y = (3x − 4)(x3 + 5)arrow_forwardAv Use the fiqures to evaluate the function if f(x) = cos x. x² +y? = 1 (х,1) f (α-β) f(a - B) = (Type an exact answer, using radicals as needed.)arrow_forwardProof Prove (Theorem 2.3) that d [x"] dx nx"-1 %3D for the case in which n is a rational number. (Hint: Write y = xP/4 in the form ya Assume that p and q are integers, where q > 0.) = xP and differentiate implicitly. > 0.)arrow_forward
- sin(tan-1 t) -dt 1+t2arrow_forwardRange of the function f(x) = 2 sin(1/x) is O I-1,1] O 1-2, 2] [2,-1) O (-1, 2]arrow_forwardVisual proof Let F(x) = S¿ Vď – ² đt. The figure shows that F(x) = area of sector OAB + area of triangle OBC. %3D a. Use the figure to prove that a sin'(x/a) , xVa – x² F(x) = b. Conclude that a² sin-"(x/a) xVa – x? + C. 2 (Source: The College Mathematics Journal, 34, 3, May 2003) y. A a y = Va? - Barrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage