Webintegrate x sin(x^2) integrate x sqrt(1-sqrt(x)) integrate x/(x+1)^3 from 0 to infinity; integrate 1/(cos(x)+2) from 0 to 2pi; integrate x^2 sin y dx dy, x=0 to 1, y=0 to pi; View more examples » Access instant learning tools. Get immediate feedback and guidance with step-by-step solutions for integrals and Wolfram Problem Generator. Learn ... WebFeb 25, 2016 · How do you find the derivative of 3 x2? Calculus Basic Differentiation Rules Power Rule 1 Answer Jim G. Feb 25, 2016 − 6 x3 Explanation: write 3 x2 as 3x−2 using the power rule d dx (axn) = naxn−1 ⇒ d dx (3x−2) = −2 × 3x−3 = − 6 x3 Answer link
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WebDerivative of a Constant lf c is any real number and if f(x) = c for all x, then f ' (x) = 0 for all x . That is, the derivative of a constant function is the zero function. ... = x-1, it follows from the power rule that f '(x) = -x-2 = -1/x 2 The rule for differentiating constant functions and the power rule are explicit differentiation rules ... WebThe quotient rule of partial derivatives is a technique for calculating the partial derivative of the quotient of two functions. It states that if f (x,y) and g (x,y) are both differentiable functions and g (x,y) is not equal to 0, then: ∂ (f/g)/∂x = (∂f/∂xg - f∂g/∂x)/g^2 ∂ (f/g)/∂y = (∂f/∂yg - f∂g/∂y)/g^2 flying mallard duck photos
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WebMath; Calculus; Calculus questions and answers; 3. Find the derivative of each of the following: (i) y=(5x7+3x)(3x5−2x3+7) (ii) y=t+5−t3−48 (iii) y=(tanxsinx)4−sec(3x+5) (iv) y=(6x+7)csc(2x)(2+4x2)31 (v) y=(x+2x)(4−xx2+3) (vi) y=u−1u−u+1u (vii) y=x4+x2+x+1x3−x2−x+3 WebLearn how to solve differential calculus problems step by step online. Find the derivative of (3x^3+2x^2-1)/(x-1). Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. WebExpert Answer Given that k (x)= (x−2) (−x+2) (x2+3x−3)k′ (x)=ddx ( (x−2) (−x+2) (x2+ … View the full answer Transcribed image text: Question For k (x) = (x - 2) (-x + 2) (x2 + 3x … green market corinth mississippi