100 calculus derivatives in one take
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Learn how to do all the derivative problems for your Calculus 1 class. You'll master the power rule, product rule, quotient rule, chain rule, implicit differentiation, logarithmic differentiation, and finding second derivatives. Plus, we'll dive into derivatives of all trigonometric and hyperbolic functions, as well as their inverses. Of course, we will also have the definition of the derivative. #calculus #100derivatives #blackpenredpen • 👉 Derivative For You t-shirt: https://amzn.to/3qBeuw6 • 👉 File: / files-to-my-100-95153770 • Check out my other 100-everything series: • 100 Integrals: • 100 integrals (in one take) • 100 Series: • 100 series convergence tests (no food... • 100 Calculus 2 Problems: • 100 calculus 2 problems! (ultimate fi... • 0:00 100 calculus derivatives • Big thanks to Mark Vinci for the time stamps: • Q1, 3:51, d/dx ax^+bx+c • Q2, 5:18, d/dx sinx/(1+cosx) • Q3, 8:31, d/dx (1+cosx)/sinx • Q4, 11:21, d/dx sqrt(3x+1) • Q5, 13:19, d/dx sin^3(x)+sin(x^3) • Q6, 16:48, d/dx 1/x^4 • Q7, 18:53, d/dx (1+cotx)^3 • Q8, 21:03, d/dx x^2(2x^3+1)^10 • Q9, 28:39, d/dx x/(x^2+1)^2 • Q10, 34:37, d/dx 20/(1+5e^-2x) • Q11, 38:10, d/dx sqrt(e^x)+e^sqrt(x) • Q12, 41:27, d/dx sec^3(2x) • Q13, 43:57, d/dx 1/2 (secx)(tanx) + 1/2 ln(secx + tanx) • Q14, 52:31, d/dx (xe^x)/(1+e^x) • Q15, 56:26, d/dx (e^4x)(cos(x/2)) • Q16, 1:00:05, d/dx 1/4th root(x^3 - 2) • Q17, 1:04:04, d/dx arctan(sqrt(x^2-1)) • Q18, 1:07:31, d/dx (lnx)/x^3 • Q19, 1:10:25, d/dx x^x • Q20, 1:14:46, dy/dx for x^3+y^3=6xy • Q21, 1:21:35, dy/dx for ysiny = xsinx • Q22, 1:24:22, dy/dx for ln(x/y) = e^(xy^3) • Q23, 1:30:45, dy/dx for x=sec(y) • Q24, 1:35:59, dy/dx for (x-y)^2 = sinx + siny • Q25, 1:40:16, dy/dx for x^y = y^x • Q26, 1:46:31, dy/dx for arctan(x^2y) = x+y^3 • Q27, 1:54:43, dy/dx for x^2/(x^2-y^2) = 3y • Q28, 1:58:03, dy/dx for e^(x/y) = x + y^2 • Q29, 2:03:46, dy/dx for (x^2 + y^2 – 1)^3 = y • Q30, 2:06:51, d^2y/dx^2 for 9x^2 + y^2 = 9 • Q31, 2:17:01, d^2/dx^2(1/9 sec(3x)) • Q32, 2:21:35, d^2/dx^2 (x+1)/sqrt(x) • Q33, 2:26:33, d^2/dx^2 arcsin(x^2) • Q34, 2:32:04, d^2/dx^2 1/(1+cosx) • Q35, 2:36:57, d^2/dx^2 (x)arctan(x) • Q36, 2:39:49, d^2/dx^2 x^4 lnx • Q37, 2:42:34, d^2/dx^2 e^(-x^2) • Q38, 2:45:02, d^2/dx^2 cos(lnx) • Q39, 2:47:44, d^2/dx^2 ln(cosx) • Q40, 2:48:52, d/dx sqrt(1-x^2) + (x)(arcsinx) • Q41, 2:51:48, d/dx (x)sqrt(4-x^2) • Q42, 2:54:34, d/dx sqrt(x^2-1)/x • Q43, 2:56:34, d/dx x/sqrt(x^2-1) • Q44, 2:59:03, d/dx cos(arcsinx) • Q45, 2:59:56, d/dx ln(x^2 + 3x + 5) • Q46, 3:01:24, d/dx (arctan(4x))^2 • Q47, 3:03:35, d/dx cubert(x^2) • Q48, 3:04:50, d/dx sin(sqrt(x) lnx) • Q49, 3:07:56, d/dx csc(x^2) • Q50, 3:08:50, d/dx (x^2-1)/lnx • Q51, 3:11:16, d/dx 10^x • Q52, 3:13:08, d/dx cubert(x+(lnx)^2) • Q53, 3:17:07, d/dx x^(3/4) – 2x^(1/4) • Q54, 3:19:54, d/dx log(base 2, (x sqrt(1+x^2)) • Q55, 3:26:39, d/dx (x-1)/(x^2-x+1) • Q56, 3:29:28, d/dx 1/3 cos^3x – cosx • Q57, 3:32:08, d/dx e^(xcosx) • Q58, 3:33:55, d/dx (x-sqrt(x))(x+sqrt(x)) • Q59, 3:34:40, d/dx arccot(1/x) • Q60, 3:37:50, d/dx (x)(arctanx) – ln(sqrt(x^2+1)) • Q61, 3:42:22, d/dx (x)(sqrt(1-x^2))/2 + (arcsinx)/2 • Q62, 3:47:30, d/dx (sinx-cosx)(sinx+cosx) • Q63, 3:52:45, d/dx 4x^2(2x^3 – 5x^2) • Q64, 3:55:06, d/dx (sqrtx)(4-x^2) • Q65, 3:57:27, d/dx sqrt((1+x)/(1-x)) • Q66, 4:01:40, d/dx sin(sinx) • Q67, 4:03:00, d/dx (1+e^2x)/(1-e^2x) • Q68, 4:06:18, d/dx [x/(1+lnx)] • Q69, 4:08:19, d/dx x^(x/lnx) • Q70, 4:10:04, d/dx ln[sqrt((x^2-1)/(x^2+1))] • Q71, 4:13:43, d/dx arctan(2x+3) • Q72, 4:15:55, d/dx cot^4(2x) • Q73, 4:17:47, d/dx (x^2)/(1+1/x) • Q74, 4:20:44, d/dx e^(x/(1+x^2)) • Q75, 4:23:13, d/dx (arcsinx)^3 • Q76, 4:24:42, d/dx 1/2 sec^2(x) – ln(secx) • Q77, 4:27:08, d/dx ln(ln(lnx))) • Q78, 4:28:51, d/dx pi^3 • Q79, 4:34:04, d/dx ln[x+sqrt(1+x^2)] • Q80, 4:37:52, d/dx arcsinh(x) • Q81, 4:46:55, d/dx e^x sinhx • Q82, 4:48:38, d/dx sech(1/x) • Q83, 4:52:51, d/dx cosh(lnx)) • Q84, 4:56:21, d/dx ln(coshx) • Q85, 4:57:36, d/dx sinhx/(1+coshx) • Q86, 5:00:35, d/dx arctanh(cosx) • Q87, 5:03:54, d/dx (x)(arctanhx)+ln(sqrt(1-x^2)) • Q88, 5:07:23, d/dx arcsinh(tanx) • Q89, 5:10:39, d/dx arcsin(tanhx) • Q90, 5:12:32, d/dx (tanhx)/(1-x^2) • Q91, 5:14:58, d/dx x^3, definition of derivative • Q92, 5:20:41, d/dx sqrt(3x+1), definition of derivative • Q93, 5:26:16, d/dx 1/(2x+5), definition of derivative • Q94, 5:31:18, d/dx 1/x^2, definition of derivative • Q95, 5:35:34, d/dx sinx, definition of derivative • Q96, 5:44:06, d/dx secx, definition of derivative • Q97, 5:54:41, d/dx arcsinx, definition of derivative • Q98, 6:13:26, d/dx arctanx, definition of derivative • Q99, 6:18:35, d/dx f(x)g(x), definition of derivative • Q100, d/dx f(x)/g(x), definition of derivative • Q101, d/dx tetration of x (i.e. x^x^x) • Subscribe 👉 @blackpenredpen
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