Rules of Derivatives Quiz 2 MCV4U IB Calculus Math

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Q1. Differentiate and simplify fully with positive exponents.
a. f(x)=-2x^4+5x^3-π^2 b. f(x)=1/(2/5 x^(-10) )
c. y=√5 x^√5-∛x d. y=(9-2x^3 )^7
Q2. Differentiate f(x)=(-x+2)^2/(3+5x)^4 . Express answer in simplified factored form.
Q3. Determine equation of tangent line to the curve f(x)=(1-2x)^5 (3x-2)^6 at x = 1.
Q4. Given f(x)=(2x^2)/(x-4)
a. Determine the point(s) where the tangent line is horizontal.
b. Determine slope of normal at x = 2.
Q5. The time, t, in seconds, taken for an object dropped from a height of h metres to reach the ground is given by the formula t=√(h/5).Determine the rate of change of the time with respect to height when the height of an object is 125 m above the ground.
Q6. The line 8x - y - 8 = 0 is tangent to the graph of f(x)=(1+k)(x^2-1) at (1, 0). Determine the value of k.
Q7. Differentiate f(x)=x^(1/3) (x-4)^(2/3). Write answer in simplified factored form. #GCSE #SAT #EQAO #IBSLmath