Aug 4, 2015 · pi^x lnpi e^pi is a constant (it's near 2.7^3 using e~~2.7 and pi~~3) Because it is a constant its derivative is 0. (You could use the power rule for d/dx(u^pi) to get pie^(pi …

Sep 2, 2016 · See explanation below graph{cos(pi*x) [-5, 5, -2, 2]} Graph of function y=f(x), by definition, is a set of all points (A,B) on the coordinate plane that satisfy the equation B=f(A). …

Nov 25, 2015 · The derivative is - 2 sin(pi x^2) * pi x. To build the derivative of cos(pi * x^2), you need to use the chain rule.

Mar 16, 2016 · -1 The limit of the ratio is the limit of the ratio of the derivatives of the numerator and denominator. lim x to 0 sin(x+pi)/x= lim x to 0 cos(x+pi)/1 = cos pi /1 = -1. I had enjoyed …

Sep 27, 2015 · d/dx2^(sin(pix))=2^(sin(pix))*ln2*cospix*(pi) Using the following standard rules of differentiation: d/dxa^(u(x))=a^u*lna*(du)/dx d/dx sinu(x) = cosu(x)*(du)/dx d ...

Mar 6, 2015 · f'(x)=-(sinx )pi^cosx ln pi (I use ln for natural logarithm.) To get this answer, use the formula for differentiating exponential functions with base a and use the chain rule. The …

Feb 19, 2015 · The answer is: pi^(x-1)/lnpi+c. Since: inta^f(x)*f'(x)dx=a^f(x)/lna+c Than: intpi^(x-1)dx=pi^(x-1)/lnpi+c.

Mar 25, 2016 · Proving equation Prove the equation by using the trig unit circle. On the unit circle, cos (-x) = cos x cos (pi - x) = - cos x The left side of the equation --> cos x - cos x = 0 On the …

Apr 15, 2015 · Because I do not know a special angle (number) whose tangent is 1/2, I'll have to write the answer using the inverse tangent function, arc tan or tan^-1. tan^-1(1/2) = t where …

Nov 28, 2017 · How do I find the derivative of #y= x arctan (2x) - (ln (1+4x^2))/4#? How do you find the derivative of #y = s/3 + 5s#? What is the second derivative of #(f * g)(x)# if f and g are …