x2 + 16x + 64 - x4
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MTH 132 Lecture 9 Trigonometric Derivatives Sine and Cosine addition ● sin(a+b) = sin(a)cos(b)+cos(a)sin(b) ● cos(a+b) = cos(a)cos(b)sin(a)sin(b) Derivative of Sine ● sin(x)’ = cos(x) Sine Proof ● [ sin(x+h) sin(x) ] / h ● [ Sin(x)cos(h) + cos(x)sin(h) sin(x) ] / h ● Cos(x) * sin(h)/h sin(x) * (cos(h) 1)/h ○ [cos(h) 1]/h always = 0 ● Simplify to get cos x as h approaches 0. Cosine Derivative ● cos(x)’ = sinx Cosine Proof ● f(x) = cosx ● f’(x) = limit h approaches 0 [ f(x+h) f(x) ]/ h ● cos(x+h) cos(x) = cos(x)cos(h) sin(x)sin(h) cos(x) ● cos(x)*[cos(h)1]/h sinx*sin(h)/h ● sin^2x+cos^2x = 1 ● (sin^2x+cos^2x )’= 1’ ● (sinx*sinx)’ + (cosx*
Textbook: Intermediate Algebra for College Students
Author: Robert F. Blitzer
The full step-by-step solution to problem: 68 from chapter: 5.5 was answered by , our top Math solution expert on 03/14/18, 07:37PM. Intermediate Algebra for College Students was written by and is associated to the ISBN: 9780321758934. This full solution covers the following key subjects: . This expansive textbook survival guide covers 74 chapters, and 7519 solutions. The answer to “x2 + 16x + 64 - x4” is broken down into a number of easy to follow steps, and 7 words. Since the solution to 68 from 5.5 chapter was answered, more than 228 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Intermediate Algebra for College Students, edition: 6.