Recent content by kxpatel29

  1. K

    Calculating Derivatives of Composite Functions

    Homework Statement Given F(2)=5, F'(2)=6, F(4)=3, F'(4)=6 and G(3)=6, G'(3)=3, G(4)=2, G'(4)=1 A. H(4) if H(x)=F(G(x)) = ? B. H'(4) if H(x)=F(G(x)) = ? C. H(4) if H(x)=G(F(x)) = ? D. H'(4) if H(x)=G(F(x)) =? E. H'(4) if H(x)=F(x)/G(x) =? Homework Equations My teacher did not teach...
  2. K

    Derivative of Composite Trigonometric Functions

    Homework Statement What is the derivative of f(x) = cos^5(sin(8x)) Homework Equations trig, product rule, chain rule The Attempt at a Solution f(x) = cos^5(sin(8x)) Answer: 5-sin^4(cos(8x))(8)
  3. K

    Derivative of f(t) = te^(2-7t)

    Homework Statement What is the derivative of f(t) = te^(2-7t) Homework Equations We would use product rule and chain rule, I believe The Attempt at a Solution (t)(e^(2-7t) (1)(e^(2-7t)(-7) answer: -7(e^(2-7t))
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