Differentiation practice pdf
Rating: 4.7 / 5 (4474 votes)
Downloads: 27181
CLICK HERE TO DOWNLOAD
(Fractional answers must not involve double fractions) 3 Calculus Practice: Derivatives Find the derivative and give the domain of the derivative for each of the following functions. s = t−• Reduce the old power by one and use this as the new power. There are commonly used formulas after the problems, some of these problems might be To differentiate s = atnfor any value of n where a is a constant. Example Bring the existing power down and use it to multiply. x., simplifying the final. Determine the value of p and the value of q. If the derivative does not exist at any point, explain why Differentiate these for fun, or practice, whichever you need. answers as far as possible. ds dt = −4 ×t−4−Answer ds dt = antn−1= −10t−5 PRACTICEImplicit Differentiation Find dx dyy ³ + 7y = x³x²y – 3y = x³ –x² + 5y³ = x +Find Dty if t³ + t²y –y=Find the equation of the tangent line to the curve y³ – xy² + cos(xy) =at x =Finddx d y at (2,1) if 2x²y – 4y³ = The purpose of this worksheet is to provide an opportunity to practice di erentiation formulas for section It will not be graded and you are not expected to nish in class. The purpose of this worksheet is to provide an opportunity to practice di erentiation formulas for section It will not be graded and you are not expected to nish in class Name: LevelFurther Maths Ensure you have: Pencil or pen GuidanceRead each question carefully before you begin answering itCheck your answers seem right FigureA graph of the straight line y = 3x +We can calculate the gradient of this line as follows. p = 4, q = 1 Differentiation of a general power multiplied by a constant. When t =the volume of a soap bubble iscmand at that instant its volume is reasing at the rate ofcmper second. We take two points and calculate the change in y divided by the change in x x.)(****) Differentiate each the following expressions with respect to. The given answers are not simplifiedf(x) = 4x−5xf(x) = e x sinxf(x) = (x+3x) −1 V = (p − qt)2, t ≥ 0, where p and q are positive constants, and t is the time in seconds, measured after a certain instant.